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Finding the Fourth Proportional to 71,057.78, 106,586.66 and 21,138.59

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Solution

The fourth proportional to 71,057.78, 106,586.66 and 21,138.59 is: 31,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,057.78 : 106,586.66 = 21,138.59 : x
  2. Step 2: Convert to fraction form
    71,057.78/106,586.66 = 21,138.59/x
  3. Step 3: Cross multiply
    71,057.78x = 106,586.66 × 21,138.59
  4. Step 4: Simplify right side
    71,057.78x = 2,253,091,066.58
  5. Step 5: Solve for x
    x = 2,253,091,066.58/71,057.78
  6. Step 6: Final answer
    x = 31,707.88

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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.