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Finding the Fourth Proportional to 81,454.97, 112,407.70 and 49,623.88

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Solution

The fourth proportional to 81,454.97, 112,407.70 and 49,623.88 is: 68,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,454.97 : 112,407.70 = 49,623.88 : x
  2. Step 2: Convert to fraction form
    81,454.97/112,407.70 = 49,623.88/x
  3. Step 3: Cross multiply
    81,454.97x = 112,407.70 × 49,623.88
  4. Step 4: Simplify right side
    81,454.97x = 5,578,106,215.88
  5. Step 5: Solve for x
    x = 5,578,106,215.88/81,454.97
  6. Step 6: Final answer
    x = 68,480.86

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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.