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Finding the Fourth Proportional to 81,873.52, 112,712.52 and 78,111.88

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Solution

The fourth proportional to 81,873.52, 112,712.52 and 78,111.88 is: 107,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,873.52 : 112,712.52 = 78,111.88 : x
  2. Step 2: Convert to fraction form
    81,873.52/112,712.52 = 78,111.88/x
  3. Step 3: Cross multiply
    81,873.52x = 112,712.52 × 78,111.88
  4. Step 4: Simplify right side
    81,873.52x = 8,804,186,836.74
  5. Step 5: Solve for x
    x = 8,804,186,836.74/81,873.52
  6. Step 6: Final answer
    x = 107,534.00

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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.