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Finding the Fourth Proportional to 96.42, 143.88 and 86.19

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Solution

The fourth proportional to 96.42, 143.88 and 86.19 is: 128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.42 : 143.88 = 86.19 : x
  2. Step 2: Convert to fraction form
    96.42/143.88 = 86.19/x
  3. Step 3: Cross multiply
    96.42x = 143.88 × 86.19
  4. Step 4: Simplify right side
    96.42x = 12,401.02
  5. Step 5: Solve for x
    x = 12,401.02/96.42
  6. Step 6: Final answer
    x = 128.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.