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Finding the Fourth Proportional to 51,123.40, 76,695.90 and 15,581.80

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Solution

The fourth proportional to 51,123.40, 76,695.90 and 15,581.80 is: 23,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,123.40 : 76,695.90 = 15,581.80 : x
  2. Step 2: Convert to fraction form
    51,123.40/76,695.90 = 15,581.80/x
  3. Step 3: Cross multiply
    51,123.40x = 76,695.90 × 15,581.80
  4. Step 4: Simplify right side
    51,123.40x = 1,195,060,174.62
  5. Step 5: Solve for x
    x = 1,195,060,174.62/51,123.40
  6. Step 6: Final answer
    x = 23,375.99

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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.