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Finding the Fourth Proportional to 83,998, 125,999.43 and 21,668.50

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Solution

The fourth proportional to 83,998, 125,999.43 and 21,668.50 is: 32,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,998 : 125,999.43 = 21,668.50 : x
  2. Step 2: Convert to fraction form
    83,998/125,999.43 = 21,668.50/x
  3. Step 3: Cross multiply
    83,998x = 125,999.43 × 21,668.50
  4. Step 4: Simplify right side
    83,998x = 2,730,218,648.96
  5. Step 5: Solve for x
    x = 2,730,218,648.96/83,998
  6. Step 6: Final answer
    x = 32,503.38

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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.