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Finding the Fourth Proportional to 81,856.70, 112,961.09 and 46,046.76

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Solution

The fourth proportional to 81,856.70, 112,961.09 and 46,046.76 is: 63,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,856.70 : 112,961.09 = 46,046.76 : x
  2. Step 2: Convert to fraction form
    81,856.70/112,961.09 = 46,046.76/x
  3. Step 3: Cross multiply
    81,856.70x = 112,961.09 × 46,046.76
  4. Step 4: Simplify right side
    81,856.70x = 5,201,491,892.08
  5. Step 5: Solve for x
    x = 5,201,491,892.08/81,856.70
  6. Step 6: Final answer
    x = 63,543.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.