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Finding the Fourth Proportional to 187,687.71, 281,531.57 and 47,446.34

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Solution

The fourth proportional to 187,687.71, 281,531.57 and 47,446.34 is: 71,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,687.71 : 281,531.57 = 47,446.34 : x
  2. Step 2: Convert to fraction form
    187,687.71/281,531.57 = 47,446.34/x
  3. Step 3: Cross multiply
    187,687.71x = 281,531.57 × 47,446.34
  4. Step 4: Simplify right side
    187,687.71x = 13,357,640,946.06
  5. Step 5: Solve for x
    x = 13,357,640,946.06/187,687.71
  6. Step 6: Final answer
    x = 71,169.50

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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.