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Finding the Fourth Proportional to 83,288.73, 124,933.14 and 20,959.23

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Solution

The fourth proportional to 83,288.73, 124,933.14 and 20,959.23 is: 31,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,288.73 : 124,933.14 = 20,959.23 : x
  2. Step 2: Convert to fraction form
    83,288.73/124,933.14 = 20,959.23/x
  3. Step 3: Cross multiply
    83,288.73x = 124,933.14 × 20,959.23
  4. Step 4: Simplify right side
    83,288.73x = 2,618,502,415.88
  5. Step 5: Solve for x
    x = 2,618,502,415.88/83,288.73
  6. Step 6: Final answer
    x = 31,438.86

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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.