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Finding the Fourth Proportional to 81,808.29, 122,724.72 and 25,635.87

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Solution

The fourth proportional to 81,808.29, 122,724.72 and 25,635.87 is: 38,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,808.29 : 122,724.72 = 25,635.87 : x
  2. Step 2: Convert to fraction form
    81,808.29/122,724.72 = 25,635.87/x
  3. Step 3: Cross multiply
    81,808.29x = 122,724.72 × 25,635.87
  4. Step 4: Simplify right side
    81,808.29x = 3,146,154,967.71
  5. Step 5: Solve for x
    x = 3,146,154,967.71/81,808.29
  6. Step 6: Final answer
    x = 38,457.65

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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.