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Finding the Fourth Proportional to 138,757.59, 208,008.79 and 49,989.39

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Solution

The fourth proportional to 138,757.59, 208,008.79 and 49,989.39 is: 74,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,757.59 : 208,008.79 = 49,989.39 : x
  2. Step 2: Convert to fraction form
    138,757.59/208,008.79 = 49,989.39/x
  3. Step 3: Cross multiply
    138,757.59x = 208,008.79 × 49,989.39
  4. Step 4: Simplify right side
    138,757.59x = 10,398,232,526.74
  5. Step 5: Solve for x
    x = 10,398,232,526.74/138,757.59
  6. Step 6: Final answer
    x = 74,938.12

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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.