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Finding the Fourth Proportional to 83,998.50, 126,000.18 and 21,669

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Solution

The fourth proportional to 83,998.50, 126,000.18 and 21,669 is: 32,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,998.50 : 126,000.18 = 21,669 : x
  2. Step 2: Convert to fraction form
    83,998.50/126,000.18 = 21,669/x
  3. Step 3: Cross multiply
    83,998.50x = 126,000.18 × 21,669
  4. Step 4: Simplify right side
    83,998.50x = 2,730,297,900.42
  5. Step 5: Solve for x
    x = 2,730,297,900.42/83,998.50
  6. Step 6: Final answer
    x = 32,504.13

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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.