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Finding the Fourth Proportional to 138,613.40, 207,920.10 and 49,869.80

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Solution

The fourth proportional to 138,613.40, 207,920.10 and 49,869.80 is: 74,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,613.40 : 207,920.10 = 49,869.80 : x
  2. Step 2: Convert to fraction form
    138,613.40/207,920.10 = 49,869.80/x
  3. Step 3: Cross multiply
    138,613.40x = 207,920.10 × 49,869.80
  4. Step 4: Simplify right side
    138,613.40x = 10,368,933,802.98
  5. Step 5: Solve for x
    x = 10,368,933,802.98/138,613.40
  6. Step 6: Final answer
    x = 74,804.70

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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.