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Finding the Fourth Proportional to 96,726.16, 133,544 and 78,864

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Solution

The fourth proportional to 96,726.16, 133,544 and 78,864 is: 108,882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,726.16 : 133,544 = 78,864 : x
  2. Step 2: Convert to fraction form
    96,726.16/133,544 = 78,864/x
  3. Step 3: Cross multiply
    96,726.16x = 133,544 × 78,864
  4. Step 4: Simplify right side
    96,726.16x = 10,531,814,016
  5. Step 5: Solve for x
    x = 10,531,814,016/96,726.16
  6. Step 6: Final answer
    x = 108,882.79

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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.