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Finding the Fourth Proportional to 81,793.80, 112,841.91 and 51,569.46

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Solution

The fourth proportional to 81,793.80, 112,841.91 and 51,569.46 is: 71,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,793.80 : 112,841.91 = 51,569.46 : x
  2. Step 2: Convert to fraction form
    81,793.80/112,841.91 = 51,569.46/x
  3. Step 3: Cross multiply
    81,793.80x = 112,841.91 × 51,569.46
  4. Step 4: Simplify right side
    81,793.80x = 5,819,196,364.07
  5. Step 5: Solve for x
    x = 5,819,196,364.07/81,793.80
  6. Step 6: Final answer
    x = 71,144.71

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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.