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Finding the Fourth Proportional to 138,352.27, 207,059.29 and 85,077.72

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Solution

The fourth proportional to 138,352.27, 207,059.29 and 85,077.72 is: 127,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,352.27 : 207,059.29 = 85,077.72 : x
  2. Step 2: Convert to fraction form
    138,352.27/207,059.29 = 85,077.72/x
  3. Step 3: Cross multiply
    138,352.27x = 207,059.29 × 85,077.72
  4. Step 4: Simplify right side
    138,352.27x = 17,616,132,298.02
  5. Step 5: Solve for x
    x = 17,616,132,298.02/138,352.27
  6. Step 6: Final answer
    x = 127,328.10

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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.