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Finding the Fourth Proportional to 103.47, 141.92 and 96.18

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Solution

The fourth proportional to 103.47, 141.92 and 96.18 is: 131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.47 : 141.92 = 96.18 : x
  2. Step 2: Convert to fraction form
    103.47/141.92 = 96.18/x
  3. Step 3: Cross multiply
    103.47x = 141.92 × 96.18
  4. Step 4: Simplify right side
    103.47x = 13,649.38
  5. Step 5: Solve for x
    x = 13,649.38/103.47
  6. Step 6: Final answer
    x = 131.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.