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Finding the Fourth Proportional to 138.75, 191.49 and 100.02

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Solution

The fourth proportional to 138.75, 191.49 and 100.02 is: 138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.75 : 191.49 = 100.02 : x
  2. Step 2: Convert to fraction form
    138.75/191.49 = 100.02/x
  3. Step 3: Cross multiply
    138.75x = 191.49 × 100.02
  4. Step 4: Simplify right side
    138.75x = 19,152.83
  5. Step 5: Solve for x
    x = 19,152.83/138.75
  6. Step 6: Final answer
    x = 138.04

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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.