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Finding the Fourth Proportional to 77,158.56, 115,735.68 and 24,571.20

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Solution

The fourth proportional to 77,158.56, 115,735.68 and 24,571.20 is: 36,856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,158.56 : 115,735.68 = 24,571.20 : x
  2. Step 2: Convert to fraction form
    77,158.56/115,735.68 = 24,571.20/x
  3. Step 3: Cross multiply
    77,158.56x = 115,735.68 × 24,571.20
  4. Step 4: Simplify right side
    77,158.56x = 2,843,764,540.42
  5. Step 5: Solve for x
    x = 2,843,764,540.42/77,158.56
  6. Step 6: Final answer
    x = 36,856.11

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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.