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Finding the Fourth Proportional to 187,781.80, 281,700.96 and 54,644.80

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Solution

The fourth proportional to 187,781.80, 281,700.96 and 54,644.80 is: 81,975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,781.80 : 281,700.96 = 54,644.80 : x
  2. Step 2: Convert to fraction form
    187,781.80/281,700.96 = 54,644.80/x
  3. Step 3: Cross multiply
    187,781.80x = 281,700.96 × 54,644.80
  4. Step 4: Simplify right side
    187,781.80x = 15,393,492,619.01
  5. Step 5: Solve for x
    x = 15,393,492,619.01/187,781.80
  6. Step 6: Final answer
    x = 81,975.42

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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.