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Finding the Fourth Proportional to 81,171.51, 112,048 and 72,658.61

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Solution

The fourth proportional to 81,171.51, 112,048 and 72,658.61 is: 100,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,171.51 : 112,048 = 72,658.61 : x
  2. Step 2: Convert to fraction form
    81,171.51/112,048 = 72,658.61/x
  3. Step 3: Cross multiply
    81,171.51x = 112,048 × 72,658.61
  4. Step 4: Simplify right side
    81,171.51x = 8,141,251,933.28
  5. Step 5: Solve for x
    x = 8,141,251,933.28/81,171.51
  6. Step 6: Final answer
    x = 100,296.91

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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.