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Finding the Fourth Proportional to 83,691.36, 125,536.88 and 21,361.84

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Solution

The fourth proportional to 83,691.36, 125,536.88 and 21,361.84 is: 32,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,691.36 : 125,536.88 = 21,361.84 : x
  2. Step 2: Convert to fraction form
    83,691.36/125,536.88 = 21,361.84/x
  3. Step 3: Cross multiply
    83,691.36x = 125,536.88 × 21,361.84
  4. Step 4: Simplify right side
    83,691.36x = 2,681,698,744.66
  5. Step 5: Solve for x
    x = 2,681,698,744.66/83,691.36
  6. Step 6: Final answer
    x = 32,042.72

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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.