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Finding the Fourth Proportional to 138,488.67, 207,734.71 and 49,742.14

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Solution

The fourth proportional to 138,488.67, 207,734.71 and 49,742.14 is: 74,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,488.67 : 207,734.71 = 49,742.14 : x
  2. Step 2: Convert to fraction form
    138,488.67/207,734.71 = 49,742.14/x
  3. Step 3: Cross multiply
    138,488.67x = 207,734.71 × 49,742.14
  4. Step 4: Simplify right side
    138,488.67x = 10,333,169,027.68
  5. Step 5: Solve for x
    x = 10,333,169,027.68/138,488.67
  6. Step 6: Final answer
    x = 74,613.82

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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.