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Finding the Fourth Proportional to 83,300.73, 124,951.14 and 20,971.23

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Solution

The fourth proportional to 83,300.73, 124,951.14 and 20,971.23 is: 31,456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,300.73 : 124,951.14 = 20,971.23 : x
  2. Step 2: Convert to fraction form
    83,300.73/124,951.14 = 20,971.23/x
  3. Step 3: Cross multiply
    83,300.73x = 124,951.14 × 20,971.23
  4. Step 4: Simplify right side
    83,300.73x = 2,620,379,095.70
  5. Step 5: Solve for x
    x = 2,620,379,095.70/83,300.73
  6. Step 6: Final answer
    x = 31,456.86

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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.