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Finding the Fourth Proportional to 138,129.20, 207,187.71 and 43,357.16

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Solution

The fourth proportional to 138,129.20, 207,187.71 and 43,357.16 is: 65,033.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,129.20 : 207,187.71 = 43,357.16 : x
  2. Step 2: Convert to fraction form
    138,129.20/207,187.71 = 43,357.16/x
  3. Step 3: Cross multiply
    138,129.20x = 207,187.71 × 43,357.16
  4. Step 4: Simplify right side
    138,129.20x = 8,983,070,692.50
  5. Step 5: Solve for x
    x = 8,983,070,692.50/138,129.20
  6. Step 6: Final answer
    x = 65,033.83

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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.