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Finding the Fourth Proportional to 51,141.76, 76,723.12 and 21,559.65

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Solution

The fourth proportional to 51,141.76, 76,723.12 and 21,559.65 is: 32,343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,141.76 : 76,723.12 = 21,559.65 : x
  2. Step 2: Convert to fraction form
    51,141.76/76,723.12 = 21,559.65/x
  3. Step 3: Cross multiply
    51,141.76x = 76,723.12 × 21,559.65
  4. Step 4: Simplify right side
    51,141.76x = 1,654,123,641.06
  5. Step 5: Solve for x
    x = 1,654,123,641.06/51,141.76
  6. Step 6: Final answer
    x = 32,343.89

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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.