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Finding the Fourth Proportional to 82,611.66, 123,917.67 and 20,282.34

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Solution

The fourth proportional to 82,611.66, 123,917.67 and 20,282.34 is: 30,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,611.66 : 123,917.67 = 20,282.34 : x
  2. Step 2: Convert to fraction form
    82,611.66/123,917.67 = 20,282.34/x
  3. Step 3: Cross multiply
    82,611.66x = 123,917.67 × 20,282.34
  4. Step 4: Simplify right side
    82,611.66x = 2,513,340,314.95
  5. Step 5: Solve for x
    x = 2,513,340,314.95/82,611.66
  6. Step 6: Final answer
    x = 30,423.55

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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.