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Finding the Fourth Proportional to 281,761, 422,666.10 and 71,398.95

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Solution

The fourth proportional to 281,761, 422,666.10 and 71,398.95 is: 107,104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,761 : 422,666.10 = 71,398.95 : x
  2. Step 2: Convert to fraction form
    281,761/422,666.10 = 71,398.95/x
  3. Step 3: Cross multiply
    281,761x = 422,666.10 × 71,398.95
  4. Step 4: Simplify right side
    281,761x = 30,177,915,740.60
  5. Step 5: Solve for x
    x = 30,177,915,740.60/281,761
  6. Step 6: Final answer
    x = 107,104.66

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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.