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Finding the Fourth Proportional to 81,887.84, 122,861.82 and 34,514.90

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Solution

The fourth proportional to 81,887.84, 122,861.82 and 34,514.90 is: 51,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,887.84 : 122,861.82 = 34,514.90 : x
  2. Step 2: Convert to fraction form
    81,887.84/122,861.82 = 34,514.90/x
  3. Step 3: Cross multiply
    81,887.84x = 122,861.82 × 34,514.90
  4. Step 4: Simplify right side
    81,887.84x = 4,240,563,431.12
  5. Step 5: Solve for x
    x = 4,240,563,431.12/81,887.84
  6. Step 6: Final answer
    x = 51,785.02

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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.