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Finding the Fourth Proportional to 81,856.68, 122,786.70 and 25,695.64

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Solution

The fourth proportional to 81,856.68, 122,786.70 and 25,695.64 is: 38,543.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,856.68 : 122,786.70 = 25,695.64 : x
  2. Step 2: Convert to fraction form
    81,856.68/122,786.70 = 25,695.64/x
  3. Step 3: Cross multiply
    81,856.68x = 122,786.70 × 25,695.64
  4. Step 4: Simplify right side
    81,856.68x = 3,155,082,839.99
  5. Step 5: Solve for x
    x = 3,155,082,839.99/81,856.68
  6. Step 6: Final answer
    x = 38,543.99

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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.