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Finding the Fourth Proportional to 98,414.75, 147,645.54 and 31,854.89

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Solution

The fourth proportional to 98,414.75, 147,645.54 and 31,854.89 is: 47,789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,414.75 : 147,645.54 = 31,854.89 : x
  2. Step 2: Convert to fraction form
    98,414.75/147,645.54 = 31,854.89/x
  3. Step 3: Cross multiply
    98,414.75x = 147,645.54 × 31,854.89
  4. Step 4: Simplify right side
    98,414.75x = 4,703,231,697.46
  5. Step 5: Solve for x
    x = 4,703,231,697.46/98,414.75
  6. Step 6: Final answer
    x = 47,789.91

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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.