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Finding the Fourth Proportional to 100.24, 138.18 and 87.94

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Solution

The fourth proportional to 100.24, 138.18 and 87.94 is: 121.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.24 : 138.18 = 87.94 : x
  2. Step 2: Convert to fraction form
    100.24/138.18 = 87.94/x
  3. Step 3: Cross multiply
    100.24x = 138.18 × 87.94
  4. Step 4: Simplify right side
    100.24x = 12,151.55
  5. Step 5: Solve for x
    x = 12,151.55/100.24
  6. Step 6: Final answer
    x = 121.22

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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.