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Finding the Fourth Proportional to 71,670.87, 107,509.46 and 21,757.95

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Solution

The fourth proportional to 71,670.87, 107,509.46 and 21,757.95 is: 32,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,670.87 : 107,509.46 = 21,757.95 : x
  2. Step 2: Convert to fraction form
    71,670.87/107,509.46 = 21,757.95/x
  3. Step 3: Cross multiply
    71,670.87x = 107,509.46 × 21,757.95
  4. Step 4: Simplify right side
    71,670.87x = 2,339,185,346.42
  5. Step 5: Solve for x
    x = 2,339,185,346.42/71,670.87
  6. Step 6: Final answer
    x = 32,637.88

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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.