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Finding the Fourth Proportional to 187,407, 281,149.38 and 76,599

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Solution

The fourth proportional to 187,407, 281,149.38 and 76,599 is: 114,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,407 : 281,149.38 = 76,599 : x
  2. Step 2: Convert to fraction form
    187,407/281,149.38 = 76,599/x
  3. Step 3: Cross multiply
    187,407x = 281,149.38 × 76,599
  4. Step 4: Simplify right side
    187,407x = 21,535,761,358.62
  5. Step 5: Solve for x
    x = 21,535,761,358.62/187,407
  6. Step 6: Final answer
    x = 114,914.39

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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.