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Finding the Fourth Proportional to 103.50, 142.36 and 91.19

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Solution

The fourth proportional to 103.50, 142.36 and 91.19 is: 125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.50 : 142.36 = 91.19 : x
  2. Step 2: Convert to fraction form
    103.50/142.36 = 91.19/x
  3. Step 3: Cross multiply
    103.50x = 142.36 × 91.19
  4. Step 4: Simplify right side
    103.50x = 12,981.94
  5. Step 5: Solve for x
    x = 12,981.94/103.50
  6. Step 6: Final answer
    x = 125.43

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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.