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Finding the Fourth Proportional to 81,981.52, 122,983 and 29,396.88

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Solution

The fourth proportional to 81,981.52, 122,983 and 29,396.88 is: 44,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,981.52 : 122,983 = 29,396.88 : x
  2. Step 2: Convert to fraction form
    81,981.52/122,983 = 29,396.88/x
  3. Step 3: Cross multiply
    81,981.52x = 122,983 × 29,396.88
  4. Step 4: Simplify right side
    81,981.52x = 3,615,316,493.04
  5. Step 5: Solve for x
    x = 3,615,316,493.04/81,981.52
  6. Step 6: Final answer
    x = 44,099.16

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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.