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Finding the Fourth Proportional to 98,981.70, 148,472.55 and 76,863.30

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Solution

The fourth proportional to 98,981.70, 148,472.55 and 76,863.30 is: 115,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,981.70 : 148,472.55 = 76,863.30 : x
  2. Step 2: Convert to fraction form
    98,981.70/148,472.55 = 76,863.30/x
  3. Step 3: Cross multiply
    98,981.70x = 148,472.55 × 76,863.30
  4. Step 4: Simplify right side
    98,981.70x = 11,412,090,152.42
  5. Step 5: Solve for x
    x = 11,412,090,152.42/98,981.70
  6. Step 6: Final answer
    x = 115,294.95

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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.