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Finding the Fourth Proportional to 81,748.32, 112,809.04 and 47,759.95

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Solution

The fourth proportional to 81,748.32, 112,809.04 and 47,759.95 is: 65,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,748.32 : 112,809.04 = 47,759.95 : x
  2. Step 2: Convert to fraction form
    81,748.32/112,809.04 = 47,759.95/x
  3. Step 3: Cross multiply
    81,748.32x = 112,809.04 × 47,759.95
  4. Step 4: Simplify right side
    81,748.32x = 5,387,754,109.95
  5. Step 5: Solve for x
    x = 5,387,754,109.95/81,748.32
  6. Step 6: Final answer
    x = 65,906.60

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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.