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Finding the Fourth Proportional to 83,911.65, 125,889.17 and 31,321.59

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Solution

The fourth proportional to 83,911.65, 125,889.17 and 31,321.59 is: 46,990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,911.65 : 125,889.17 = 31,321.59 : x
  2. Step 2: Convert to fraction form
    83,911.65/125,889.17 = 31,321.59/x
  3. Step 3: Cross multiply
    83,911.65x = 125,889.17 × 31,321.59
  4. Step 4: Simplify right side
    83,911.65x = 3,943,048,811.57
  5. Step 5: Solve for x
    x = 3,943,048,811.57/83,911.65
  6. Step 6: Final answer
    x = 46,990.48

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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.