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Finding the Fourth Proportional to 77,398.91, 116,098.48 and 21,239.78

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Solution

The fourth proportional to 77,398.91, 116,098.48 and 21,239.78 is: 31,859.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,398.91 : 116,098.48 = 21,239.78 : x
  2. Step 2: Convert to fraction form
    77,398.91/116,098.48 = 21,239.78/x
  3. Step 3: Cross multiply
    77,398.91x = 116,098.48 × 21,239.78
  4. Step 4: Simplify right side
    77,398.91x = 2,465,906,173.53
  5. Step 5: Solve for x
    x = 2,465,906,173.53/77,398.91
  6. Step 6: Final answer
    x = 31,859.70

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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.