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Finding the Fourth Proportional to 103.10, 141.96 and 87.53

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Solution

The fourth proportional to 103.10, 141.96 and 87.53 is: 120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.10 : 141.96 = 87.53 : x
  2. Step 2: Convert to fraction form
    103.10/141.96 = 87.53/x
  3. Step 3: Cross multiply
    103.10x = 141.96 × 87.53
  4. Step 4: Simplify right side
    103.10x = 12,425.40
  5. Step 5: Solve for x
    x = 12,425.40/103.10
  6. Step 6: Final answer
    x = 120.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.