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Finding the Fourth Proportional to 138,722.16, 208,034.04 and 49,951.80

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Solution

The fourth proportional to 138,722.16, 208,034.04 and 49,951.80 is: 74,909.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,722.16 : 208,034.04 = 49,951.80 : x
  2. Step 2: Convert to fraction form
    138,722.16/208,034.04 = 49,951.80/x
  3. Step 3: Cross multiply
    138,722.16x = 208,034.04 × 49,951.80
  4. Step 4: Simplify right side
    138,722.16x = 10,391,674,759.27
  5. Step 5: Solve for x
    x = 10,391,674,759.27/138,722.16
  6. Step 6: Final answer
    x = 74,909.98

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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.