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Finding the Fourth Proportional to 61,909, 85,432.12 and 33,614.08

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Solution

The fourth proportional to 61,909, 85,432.12 and 33,614.08 is: 46,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,909 : 85,432.12 = 33,614.08 : x
  2. Step 2: Convert to fraction form
    61,909/85,432.12 = 33,614.08/x
  3. Step 3: Cross multiply
    61,909x = 85,432.12 × 33,614.08
  4. Step 4: Simplify right side
    61,909x = 2,871,722,116.25
  5. Step 5: Solve for x
    x = 2,871,722,116.25/61,909
  6. Step 6: Final answer
    x = 46,386.18

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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.