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Finding the Fourth Proportional to 138,706.11, 208,009.96 and 49,935.78

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Solution

The fourth proportional to 138,706.11, 208,009.96 and 49,935.78 is: 74,885.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,706.11 : 208,009.96 = 49,935.78 : x
  2. Step 2: Convert to fraction form
    138,706.11/208,009.96 = 49,935.78/x
  3. Step 3: Cross multiply
    138,706.11x = 208,009.96 × 49,935.78
  4. Step 4: Simplify right side
    138,706.11x = 10,387,139,600.37
  5. Step 5: Solve for x
    x = 10,387,139,600.37/138,706.11
  6. Step 6: Final answer
    x = 74,885.96

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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.