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Finding the Fourth Proportional to 150,459.78, 207,633.06 and 82,480.50

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Solution

The fourth proportional to 150,459.78, 207,633.06 and 82,480.50 is: 113,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,459.78 : 207,633.06 = 82,480.50 : x
  2. Step 2: Convert to fraction form
    150,459.78/207,633.06 = 82,480.50/x
  3. Step 3: Cross multiply
    150,459.78x = 207,633.06 × 82,480.50
  4. Step 4: Simplify right side
    150,459.78x = 17,125,678,605.33
  5. Step 5: Solve for x
    x = 17,125,678,605.33/150,459.78
  6. Step 6: Final answer
    x = 113,822.30

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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.