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Finding the Fourth Proportional to 100,260, 149,974.52 and 76,387

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Solution

The fourth proportional to 100,260, 149,974.52 and 76,387 is: 114,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,260 : 149,974.52 = 76,387 : x
  2. Step 2: Convert to fraction form
    100,260/149,974.52 = 76,387/x
  3. Step 3: Cross multiply
    100,260x = 149,974.52 × 76,387
  4. Step 4: Simplify right side
    100,260x = 11,456,103,659.24
  5. Step 5: Solve for x
    x = 11,456,103,659.24/100,260
  6. Step 6: Final answer
    x = 114,263.95

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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.