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Finding the Fourth Proportional to 81,856.80, 112,961.24 and 46,046.76

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Solution

The fourth proportional to 81,856.80, 112,961.24 and 46,046.76 is: 63,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,856.80 : 112,961.24 = 46,046.76 : x
  2. Step 2: Convert to fraction form
    81,856.80/112,961.24 = 46,046.76/x
  3. Step 3: Cross multiply
    81,856.80x = 112,961.24 × 46,046.76
  4. Step 4: Simplify right side
    81,856.80x = 5,201,499,107.58
  5. Step 5: Solve for x
    x = 5,201,499,107.58/81,856.80
  6. Step 6: Final answer
    x = 63,543.89

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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.