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Finding the Fourth Proportional to 187,411.60, 281,214.60 and 82,241.20

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Solution

The fourth proportional to 187,411.60, 281,214.60 and 82,241.20 is: 123,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,411.60 : 281,214.60 = 82,241.20 : x
  2. Step 2: Convert to fraction form
    187,411.60/281,214.60 = 82,241.20/x
  3. Step 3: Cross multiply
    187,411.60x = 281,214.60 × 82,241.20
  4. Step 4: Simplify right side
    187,411.60x = 23,127,426,161.52
  5. Step 5: Solve for x
    x = 23,127,426,161.52/187,411.60
  6. Step 6: Final answer
    x = 123,404.45

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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.