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Finding the Fourth Proportional to 96,046.62, 132,421.12 and 78,755.28

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Solution

The fourth proportional to 96,046.62, 132,421.12 and 78,755.28 is: 108,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,046.62 : 132,421.12 = 78,755.28 : x
  2. Step 2: Convert to fraction form
    96,046.62/132,421.12 = 78,755.28/x
  3. Step 3: Cross multiply
    96,046.62x = 132,421.12 × 78,755.28
  4. Step 4: Simplify right side
    96,046.62x = 10,428,862,383.51
  5. Step 5: Solve for x
    x = 10,428,862,383.51/96,046.62
  6. Step 6: Final answer
    x = 108,581.25

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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.