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Finding the Fourth Proportional to 96.20, 143.92 and 83.50

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Solution

The fourth proportional to 96.20, 143.92 and 83.50 is: 124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.20 : 143.92 = 83.50 : x
  2. Step 2: Convert to fraction form
    96.20/143.92 = 83.50/x
  3. Step 3: Cross multiply
    96.20x = 143.92 × 83.50
  4. Step 4: Simplify right side
    96.20x = 12,017.32
  5. Step 5: Solve for x
    x = 12,017.32/96.20
  6. Step 6: Final answer
    x = 124.92

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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.