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Finding the Fourth Proportional to 83,608.70, 125,433.12 and 31,018.64

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Solution

The fourth proportional to 83,608.70, 125,433.12 and 31,018.64 is: 46,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,608.70 : 125,433.12 = 31,018.64 : x
  2. Step 2: Convert to fraction form
    83,608.70/125,433.12 = 31,018.64/x
  3. Step 3: Cross multiply
    83,608.70x = 125,433.12 × 31,018.64
  4. Step 4: Simplify right side
    83,608.70x = 3,890,764,793.36
  5. Step 5: Solve for x
    x = 3,890,764,793.36/83,608.70
  6. Step 6: Final answer
    x = 46,535.41

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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.