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Finding the Fourth Proportional to 187,461.92, 281,192.88 and 82,281.80

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Solution

The fourth proportional to 187,461.92, 281,192.88 and 82,281.80 is: 123,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,461.92 : 281,192.88 = 82,281.80 : x
  2. Step 2: Convert to fraction form
    187,461.92/281,192.88 = 82,281.80/x
  3. Step 3: Cross multiply
    187,461.92x = 281,192.88 × 82,281.80
  4. Step 4: Simplify right side
    187,461.92x = 23,137,056,313.58
  5. Step 5: Solve for x
    x = 23,137,056,313.58/187,461.92
  6. Step 6: Final answer
    x = 123,422.70

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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.