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Finding the Fourth Proportional to 77,290.66, 115,979.87 and 32,912.79

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Solution

The fourth proportional to 77,290.66, 115,979.87 and 32,912.79 is: 49,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,290.66 : 115,979.87 = 32,912.79 : x
  2. Step 2: Convert to fraction form
    77,290.66/115,979.87 = 32,912.79/x
  3. Step 3: Cross multiply
    77,290.66x = 115,979.87 × 32,912.79
  4. Step 4: Simplify right side
    77,290.66x = 3,817,221,105.54
  5. Step 5: Solve for x
    x = 3,817,221,105.54/77,290.66
  6. Step 6: Final answer
    x = 49,387.87

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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.