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Finding the Fourth Proportional to 100,747.80, 151,121.70 and 45,451.80

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Solution

The fourth proportional to 100,747.80, 151,121.70 and 45,451.80 is: 68,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,747.80 : 151,121.70 = 45,451.80 : x
  2. Step 2: Convert to fraction form
    100,747.80/151,121.70 = 45,451.80/x
  3. Step 3: Cross multiply
    100,747.80x = 151,121.70 × 45,451.80
  4. Step 4: Simplify right side
    100,747.80x = 6,868,753,284.06
  5. Step 5: Solve for x
    x = 6,868,753,284.06/100,747.80
  6. Step 6: Final answer
    x = 68,177.70

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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.