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Finding the Fourth Proportional to 112.40, 167.63 and 106.07

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Solution

The fourth proportional to 112.40, 167.63 and 106.07 is: 158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.40 : 167.63 = 106.07 : x
  2. Step 2: Convert to fraction form
    112.40/167.63 = 106.07/x
  3. Step 3: Cross multiply
    112.40x = 167.63 × 106.07
  4. Step 4: Simplify right side
    112.40x = 17,779.15
  5. Step 5: Solve for x
    x = 17,779.15/112.40
  6. Step 6: Final answer
    x = 158.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.