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Finding the Fourth Proportional to 71,876.65, 107,695.78 and 43,711.51

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Solution

The fourth proportional to 71,876.65, 107,695.78 and 43,711.51 is: 65,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,876.65 : 107,695.78 = 43,711.51 : x
  2. Step 2: Convert to fraction form
    71,876.65/107,695.78 = 43,711.51/x
  3. Step 3: Cross multiply
    71,876.65x = 107,695.78 × 43,711.51
  4. Step 4: Simplify right side
    71,876.65x = 4,707,545,164.43
  5. Step 5: Solve for x
    x = 4,707,545,164.43/71,876.65
  6. Step 6: Final answer
    x = 65,494.78

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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.