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Finding the Fourth Proportional to 83.98, 125.92 and 45.51

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Solution

The fourth proportional to 83.98, 125.92 and 45.51 is: 68.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.98 : 125.92 = 45.51 : x
  2. Step 2: Convert to fraction form
    83.98/125.92 = 45.51/x
  3. Step 3: Cross multiply
    83.98x = 125.92 × 45.51
  4. Step 4: Simplify right side
    83.98x = 5,730.20
  5. Step 5: Solve for x
    x = 5,730.20/83.98
  6. Step 6: Final answer
    x = 68.23

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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.