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Finding the Fourth Proportional to 96.34, 143.77 and 86.09

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Solution

The fourth proportional to 96.34, 143.77 and 86.09 is: 128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.34 : 143.77 = 86.09 : x
  2. Step 2: Convert to fraction form
    96.34/143.77 = 86.09/x
  3. Step 3: Cross multiply
    96.34x = 143.77 × 86.09
  4. Step 4: Simplify right side
    96.34x = 12,377.16
  5. Step 5: Solve for x
    x = 12,377.16/96.34
  6. Step 6: Final answer
    x = 128.47

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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.