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Finding the Fourth Proportional to 138,706.61, 208,010.71 and 49,936.28

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Solution

The fourth proportional to 138,706.61, 208,010.71 and 49,936.28 is: 74,886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,706.61 : 208,010.71 = 49,936.28 : x
  2. Step 2: Convert to fraction form
    138,706.61/208,010.71 = 49,936.28/x
  3. Step 3: Cross multiply
    138,706.61x = 208,010.71 × 49,936.28
  4. Step 4: Simplify right side
    138,706.61x = 10,387,281,057.56
  5. Step 5: Solve for x
    x = 10,387,281,057.56/138,706.61
  6. Step 6: Final answer
    x = 74,886.71

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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.