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Finding the Fourth Proportional to 83,691.84, 125,537.64 and 21,362.34

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Solution

The fourth proportional to 83,691.84, 125,537.64 and 21,362.34 is: 32,043.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,691.84 : 125,537.64 = 21,362.34 : x
  2. Step 2: Convert to fraction form
    83,691.84/125,537.64 = 21,362.34/x
  3. Step 3: Cross multiply
    83,691.84x = 125,537.64 × 21,362.34
  4. Step 4: Simplify right side
    83,691.84x = 2,681,777,748.48
  5. Step 5: Solve for x
    x = 2,681,777,748.48/83,691.84
  6. Step 6: Final answer
    x = 32,043.48

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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.