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Finding the Fourth Proportional to 81,696.71, 122,552.64 and 31,780.61

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Solution

The fourth proportional to 81,696.71, 122,552.64 and 31,780.61 is: 47,673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,696.71 : 122,552.64 = 31,780.61 : x
  2. Step 2: Convert to fraction form
    81,696.71/122,552.64 = 31,780.61/x
  3. Step 3: Cross multiply
    81,696.71x = 122,552.64 × 31,780.61
  4. Step 4: Simplify right side
    81,696.71x = 3,894,797,656.31
  5. Step 5: Solve for x
    x = 3,894,797,656.31/81,696.71
  6. Step 6: Final answer
    x = 47,673.86

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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.