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Finding the Fourth Proportional to 112.79, 155.67 and 85.12

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Solution

The fourth proportional to 112.79, 155.67 and 85.12 is: 117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.79 : 155.67 = 85.12 : x
  2. Step 2: Convert to fraction form
    112.79/155.67 = 85.12/x
  3. Step 3: Cross multiply
    112.79x = 155.67 × 85.12
  4. Step 4: Simplify right side
    112.79x = 13,250.24
  5. Step 5: Solve for x
    x = 13,250.24/112.79
  6. Step 6: Final answer
    x = 117.47

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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.