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Finding the Fourth Proportional to 81,924.80, 122,881.28 and 31,995.52

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Solution

The fourth proportional to 81,924.80, 122,881.28 and 31,995.52 is: 47,990.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,924.80 : 122,881.28 = 31,995.52 : x
  2. Step 2: Convert to fraction form
    81,924.80/122,881.28 = 31,995.52/x
  3. Step 3: Cross multiply
    81,924.80x = 122,881.28 × 31,995.52
  4. Step 4: Simplify right side
    81,924.80x = 3,931,650,451.87
  5. Step 5: Solve for x
    x = 3,931,650,451.87/81,924.80
  6. Step 6: Final answer
    x = 47,990.97

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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.