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Finding the Fourth Proportional to 112.87, 155.78 and 74.17

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Solution

The fourth proportional to 112.87, 155.78 and 74.17 is: 102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.87 : 155.78 = 74.17 : x
  2. Step 2: Convert to fraction form
    112.87/155.78 = 74.17/x
  3. Step 3: Cross multiply
    112.87x = 155.78 × 74.17
  4. Step 4: Simplify right side
    112.87x = 11,554.20
  5. Step 5: Solve for x
    x = 11,554.20/112.87
  6. Step 6: Final answer
    x = 102.37

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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.