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Finding the Fourth Proportional to 71,751.83, 107,631.79 and 21,833.55

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Solution

The fourth proportional to 71,751.83, 107,631.79 and 21,833.55 is: 32,751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,751.83 : 107,631.79 = 21,833.55 : x
  2. Step 2: Convert to fraction form
    71,751.83/107,631.79 = 21,833.55/x
  3. Step 3: Cross multiply
    71,751.83x = 107,631.79 × 21,833.55
  4. Step 4: Simplify right side
    71,751.83x = 2,349,984,013.97
  5. Step 5: Solve for x
    x = 2,349,984,013.97/71,751.83
  6. Step 6: Final answer
    x = 32,751.56

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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.