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Finding the Fourth Proportional to 138,750.28, 208,116.78 and 85,452.40

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Solution

The fourth proportional to 138,750.28, 208,116.78 and 85,452.40 is: 128,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,750.28 : 208,116.78 = 85,452.40 : x
  2. Step 2: Convert to fraction form
    138,750.28/208,116.78 = 85,452.40/x
  3. Step 3: Cross multiply
    138,750.28x = 208,116.78 × 85,452.40
  4. Step 4: Simplify right side
    138,750.28x = 17,784,078,331.27
  5. Step 5: Solve for x
    x = 17,784,078,331.27/138,750.28
  6. Step 6: Final answer
    x = 128,173.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.