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Finding the Fourth Proportional to 112.79, 155.69 and 73.97

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Solution

The fourth proportional to 112.79, 155.69 and 73.97 is: 102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.79 : 155.69 = 73.97 : x
  2. Step 2: Convert to fraction form
    112.79/155.69 = 73.97/x
  3. Step 3: Cross multiply
    112.79x = 155.69 × 73.97
  4. Step 4: Simplify right side
    112.79x = 11,515.24
  5. Step 5: Solve for x
    x = 11,515.24/112.79
  6. Step 6: Final answer
    x = 102.10

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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.