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Finding the Fourth Proportional to 81,958.56, 122,679.72 and 56,509.20

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Solution

The fourth proportional to 81,958.56, 122,679.72 and 56,509.20 is: 84,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,958.56 : 122,679.72 = 56,509.20 : x
  2. Step 2: Convert to fraction form
    81,958.56/122,679.72 = 56,509.20/x
  3. Step 3: Cross multiply
    81,958.56x = 122,679.72 × 56,509.20
  4. Step 4: Simplify right side
    81,958.56x = 6,932,532,833.42
  5. Step 5: Solve for x
    x = 6,932,532,833.42/81,958.56
  6. Step 6: Final answer
    x = 84,585.83

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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.