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Finding the Fourth Proportional to 187,782.68, 281,666.72 and 75,429.20

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Solution

The fourth proportional to 187,782.68, 281,666.72 and 75,429.20 is: 113,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,782.68 : 281,666.72 = 75,429.20 : x
  2. Step 2: Convert to fraction form
    187,782.68/281,666.72 = 75,429.20/x
  3. Step 3: Cross multiply
    187,782.68x = 281,666.72 × 75,429.20
  4. Step 4: Simplify right side
    187,782.68x = 21,245,895,356.22
  5. Step 5: Solve for x
    x = 21,245,895,356.22/187,782.68
  6. Step 6: Final answer
    x = 113,140.87

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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.