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Finding the Fourth Proportional to 281,447.68, 422,083.23 and 81,781.87

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Solution

The fourth proportional to 281,447.68, 422,083.23 and 81,781.87 is: 122,647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,447.68 : 422,083.23 = 81,781.87 : x
  2. Step 2: Convert to fraction form
    281,447.68/422,083.23 = 81,781.87/x
  3. Step 3: Cross multiply
    281,447.68x = 422,083.23 × 81,781.87
  4. Step 4: Simplify right side
    281,447.68x = 34,518,755,845.04
  5. Step 5: Solve for x
    x = 34,518,755,845.04/281,447.68
  6. Step 6: Final answer
    x = 122,647.15

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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.