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Finding the Fourth Proportional to 96,142.91, 132,713.70 and 72,338.78

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Solution

The fourth proportional to 96,142.91, 132,713.70 and 72,338.78 is: 99,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,142.91 : 132,713.70 = 72,338.78 : x
  2. Step 2: Convert to fraction form
    96,142.91/132,713.70 = 72,338.78/x
  3. Step 3: Cross multiply
    96,142.91x = 132,713.70 × 72,338.78
  4. Step 4: Simplify right side
    96,142.91x = 9,600,346,483.72
  5. Step 5: Solve for x
    x = 9,600,346,483.72/96,142.91
  6. Step 6: Final answer
    x = 99,854.97

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1.5x scale

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.