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Finding the Fourth Proportional to 111.57, 152.98 and 101.17

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Solution

The fourth proportional to 111.57, 152.98 and 101.17 is: 138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.57 : 152.98 = 101.17 : x
  2. Step 2: Convert to fraction form
    111.57/152.98 = 101.17/x
  3. Step 3: Cross multiply
    111.57x = 152.98 × 101.17
  4. Step 4: Simplify right side
    111.57x = 15,476.99
  5. Step 5: Solve for x
    x = 15,476.99/111.57
  6. Step 6: Final answer
    x = 138.72

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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.