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Finding the Fourth Proportional to 112.13, 154.51 and 85.90

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Solution

The fourth proportional to 112.13, 154.51 and 85.90 is: 118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.13 : 154.51 = 85.90 : x
  2. Step 2: Convert to fraction form
    112.13/154.51 = 85.90/x
  3. Step 3: Cross multiply
    112.13x = 154.51 × 85.90
  4. Step 4: Simplify right side
    112.13x = 13,272.89
  5. Step 5: Solve for x
    x = 13,272.89/112.13
  6. Step 6: Final answer
    x = 118.37

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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.