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Finding the Fourth Proportional to 187,287, 280,930.77 and 76,479

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Solution

The fourth proportional to 187,287, 280,930.77 and 76,479 is: 114,718.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,287 : 280,930.77 = 76,479 : x
  2. Step 2: Convert to fraction form
    187,287/280,930.77 = 76,479/x
  3. Step 3: Cross multiply
    187,287x = 280,930.77 × 76,479
  4. Step 4: Simplify right side
    187,287x = 21,485,304,358.83
  5. Step 5: Solve for x
    x = 21,485,304,358.83/187,287
  6. Step 6: Final answer
    x = 114,718.61

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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.