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Finding the Fourth Proportional to 187,805.91, 281,709.38 and 54,689.43

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Solution

The fourth proportional to 187,805.91, 281,709.38 and 54,689.43 is: 82,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,805.91 : 281,709.38 = 54,689.43 : x
  2. Step 2: Convert to fraction form
    187,805.91/281,709.38 = 54,689.43/x
  3. Step 3: Cross multiply
    187,805.91x = 281,709.38 × 54,689.43
  4. Step 4: Simplify right side
    187,805.91x = 15,406,525,417.85
  5. Step 5: Solve for x
    x = 15,406,525,417.85/187,805.91
  6. Step 6: Final answer
    x = 82,034.29

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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.