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Finding the Fourth Proportional to 150,000.41, 207,000.75 and 82,017.68

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Solution

The fourth proportional to 150,000.41, 207,000.75 and 82,017.68 is: 113,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,000.41 : 207,000.75 = 82,017.68 : x
  2. Step 2: Convert to fraction form
    150,000.41/207,000.75 = 82,017.68/x
  3. Step 3: Cross multiply
    150,000.41x = 207,000.75 × 82,017.68
  4. Step 4: Simplify right side
    150,000.41x = 16,977,721,512.49
  5. Step 5: Solve for x
    x = 16,977,721,512.49/150,000.41
  6. Step 6: Final answer
    x = 113,184.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.