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Finding the Fourth Proportional to 95.20, 143.36 and 83.16

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Solution

The fourth proportional to 95.20, 143.36 and 83.16 is: 125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.20 : 143.36 = 83.16 : x
  2. Step 2: Convert to fraction form
    95.20/143.36 = 83.16/x
  3. Step 3: Cross multiply
    95.20x = 143.36 × 83.16
  4. Step 4: Simplify right side
    95.20x = 11,920.89
  5. Step 5: Solve for x
    x = 11,920.89/95.20
  6. Step 6: Final answer
    x = 125.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.