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Finding the Fourth Proportional to 40,689, 61,033.86 and 14,398.20

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Solution

The fourth proportional to 40,689, 61,033.86 and 14,398.20 is: 21,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,689 : 61,033.86 = 14,398.20 : x
  2. Step 2: Convert to fraction form
    40,689/61,033.86 = 14,398.20/x
  3. Step 3: Cross multiply
    40,689x = 61,033.86 × 14,398.20
  4. Step 4: Simplify right side
    40,689x = 878,777,723.05
  5. Step 5: Solve for x
    x = 878,777,723.05/40,689
  6. Step 6: Final answer
    x = 21,597.43

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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.