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Finding the Fourth Proportional to 138,705.11, 208,008.46 and 49,934.78

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Solution

The fourth proportional to 138,705.11, 208,008.46 and 49,934.78 is: 74,884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,705.11 : 208,008.46 = 49,934.78 : x
  2. Step 2: Convert to fraction form
    138,705.11/208,008.46 = 49,934.78/x
  3. Step 3: Cross multiply
    138,705.11x = 208,008.46 × 49,934.78
  4. Step 4: Simplify right side
    138,705.11x = 10,386,856,209.76
  5. Step 5: Solve for x
    x = 10,386,856,209.76/138,705.11
  6. Step 6: Final answer
    x = 74,884.45

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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.