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Finding the Fourth Proportional to 51,123.75, 76,691.09 and 15,585

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Solution

The fourth proportional to 51,123.75, 76,691.09 and 15,585 is: 23,379.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,123.75 : 76,691.09 = 15,585 : x
  2. Step 2: Convert to fraction form
    51,123.75/76,691.09 = 15,585/x
  3. Step 3: Cross multiply
    51,123.75x = 76,691.09 × 15,585
  4. Step 4: Simplify right side
    51,123.75x = 1,195,230,637.65
  5. Step 5: Solve for x
    x = 1,195,230,637.65/51,123.75
  6. Step 6: Final answer
    x = 23,379.17

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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.