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Finding the Fourth Proportional to 138,290.30, 207,439.40 and 75,140.68

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Solution

The fourth proportional to 138,290.30, 207,439.40 and 75,140.68 is: 112,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,290.30 : 207,439.40 = 75,140.68 : x
  2. Step 2: Convert to fraction form
    138,290.30/207,439.40 = 75,140.68/x
  3. Step 3: Cross multiply
    138,290.30x = 207,439.40 × 75,140.68
  4. Step 4: Simplify right side
    138,290.30x = 15,587,137,244.05
  5. Step 5: Solve for x
    x = 15,587,137,244.05/138,290.30
  6. Step 6: Final answer
    x = 112,713.16

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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.