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Finding the Fourth Proportional to 98,881.48, 148,149.42 and 82,347.88

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Solution

The fourth proportional to 98,881.48, 148,149.42 and 82,347.88 is: 123,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,881.48 : 148,149.42 = 82,347.88 : x
  2. Step 2: Convert to fraction form
    98,881.48/148,149.42 = 82,347.88/x
  3. Step 3: Cross multiply
    98,881.48x = 148,149.42 × 82,347.88
  4. Step 4: Simplify right side
    98,881.48x = 12,199,790,660.23
  5. Step 5: Solve for x
    x = 12,199,790,660.23/98,881.48
  6. Step 6: Final answer
    x = 123,377.91

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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.