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Finding the Fourth Proportional to 83,311.36, 124,981.44 and 36,568.96

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Solution

The fourth proportional to 83,311.36, 124,981.44 and 36,568.96 is: 54,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,311.36 : 124,981.44 = 36,568.96 : x
  2. Step 2: Convert to fraction form
    83,311.36/124,981.44 = 36,568.96/x
  3. Step 3: Cross multiply
    83,311.36x = 124,981.44 × 36,568.96
  4. Step 4: Simplify right side
    83,311.36x = 4,570,441,280.10
  5. Step 5: Solve for x
    x = 4,570,441,280.10/83,311.36
  6. Step 6: Final answer
    x = 54,859.76

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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.