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Finding the Fourth Proportional to 91,971.92, 138,054.40 and 81,508.88

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Solution

The fourth proportional to 91,971.92, 138,054.40 and 81,508.88 is: 122,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,971.92 : 138,054.40 = 81,508.88 : x
  2. Step 2: Convert to fraction form
    91,971.92/138,054.40 = 81,508.88/x
  3. Step 3: Cross multiply
    91,971.92x = 138,054.40 × 81,508.88
  4. Step 4: Simplify right side
    91,971.92x = 11,252,659,523.07
  5. Step 5: Solve for x
    x = 11,252,659,523.07/91,971.92
  6. Step 6: Final answer
    x = 122,348.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.