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Finding the Fourth Proportional to 77,565.74, 107,042.17 and 43,113.70

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Solution

The fourth proportional to 77,565.74, 107,042.17 and 43,113.70 is: 59,497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,565.74 : 107,042.17 = 43,113.70 : x
  2. Step 2: Convert to fraction form
    77,565.74/107,042.17 = 43,113.70/x
  3. Step 3: Cross multiply
    77,565.74x = 107,042.17 × 43,113.70
  4. Step 4: Simplify right side
    77,565.74x = 4,614,983,521.56
  5. Step 5: Solve for x
    x = 4,614,983,521.56/77,565.74
  6. Step 6: Final answer
    x = 59,497.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.