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Finding the Fourth Proportional to 151,761.60, 227,780.10 and 76,933.80

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Solution

The fourth proportional to 151,761.60, 227,780.10 and 76,933.80 is: 115,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,761.60 : 227,780.10 = 76,933.80 : x
  2. Step 2: Convert to fraction form
    151,761.60/227,780.10 = 76,933.80/x
  3. Step 3: Cross multiply
    151,761.60x = 227,780.10 × 76,933.80
  4. Step 4: Simplify right side
    151,761.60x = 17,523,988,657.38
  5. Step 5: Solve for x
    x = 17,523,988,657.38/151,761.60
  6. Step 6: Final answer
    x = 115,470.51

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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.