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Finding the Fourth Proportional to 151,138, 226,711.80 and 45,957.88

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Solution

The fourth proportional to 151,138, 226,711.80 and 45,957.88 is: 68,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,138 : 226,711.80 = 45,957.88 : x
  2. Step 2: Convert to fraction form
    151,138/226,711.80 = 45,957.88/x
  3. Step 3: Cross multiply
    151,138x = 226,711.80 × 45,957.88
  4. Step 4: Simplify right side
    151,138x = 10,419,193,698.98
  5. Step 5: Solve for x
    x = 10,419,193,698.98/151,138
  6. Step 6: Final answer
    x = 68,938.28

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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.