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Finding the Fourth Proportional to 83,995.34, 125,989.86 and 20,815.65

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Solution

The fourth proportional to 83,995.34, 125,989.86 and 20,815.65 is: 31,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,995.34 : 125,989.86 = 20,815.65 : x
  2. Step 2: Convert to fraction form
    83,995.34/125,989.86 = 20,815.65/x
  3. Step 3: Cross multiply
    83,995.34x = 125,989.86 × 20,815.65
  4. Step 4: Simplify right side
    83,995.34x = 2,622,560,095.28
  5. Step 5: Solve for x
    x = 2,622,560,095.28/83,995.34
  6. Step 6: Final answer
    x = 31,222.69

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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.