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Finding the Fourth Proportional to 81,805.95, 112,854.31 and 47,815.88

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Solution

The fourth proportional to 81,805.95, 112,854.31 and 47,815.88 is: 65,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,805.95 : 112,854.31 = 47,815.88 : x
  2. Step 2: Convert to fraction form
    81,805.95/112,854.31 = 47,815.88/x
  3. Step 3: Cross multiply
    81,805.95x = 112,854.31 × 47,815.88
  4. Step 4: Simplify right side
    81,805.95x = 5,396,227,460.63
  5. Step 5: Solve for x
    x = 5,396,227,460.63/81,805.95
  6. Step 6: Final answer
    x = 65,963.75

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1.5x scale

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.