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Finding the Fourth Proportional to 81,854.40, 112,891.68 and 48,288

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Solution

The fourth proportional to 81,854.40, 112,891.68 and 48,288 is: 66,597.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,854.40 : 112,891.68 = 48,288 : x
  2. Step 2: Convert to fraction form
    81,854.40/112,891.68 = 48,288/x
  3. Step 3: Cross multiply
    81,854.40x = 112,891.68 × 48,288
  4. Step 4: Simplify right side
    81,854.40x = 5,451,313,443.84
  5. Step 5: Solve for x
    x = 5,451,313,443.84/81,854.40
  6. Step 6: Final answer
    x = 66,597.68

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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.