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Finding the Fourth Proportional to 145,674.57, 201,034.68 and 82,014.66

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Solution

The fourth proportional to 145,674.57, 201,034.68 and 82,014.66 is: 113,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,674.57 : 201,034.68 = 82,014.66 : x
  2. Step 2: Convert to fraction form
    145,674.57/201,034.68 = 82,014.66/x
  3. Step 3: Cross multiply
    145,674.57x = 201,034.68 × 82,014.66
  4. Step 4: Simplify right side
    145,674.57x = 16,487,790,928.41
  5. Step 5: Solve for x
    x = 16,487,790,928.41/145,674.57
  6. Step 6: Final answer
    x = 113,182.36

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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.