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Finding the Fourth Proportional to 187,418, 281,127.27 and 76,610

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Solution

The fourth proportional to 187,418, 281,127.27 and 76,610 is: 114,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,418 : 281,127.27 = 76,610 : x
  2. Step 2: Convert to fraction form
    187,418/281,127.27 = 76,610/x
  3. Step 3: Cross multiply
    187,418x = 281,127.27 × 76,610
  4. Step 4: Simplify right side
    187,418x = 21,537,160,154.70
  5. Step 5: Solve for x
    x = 21,537,160,154.70/187,418
  6. Step 6: Final answer
    x = 114,915.11

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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.