Home / 160.20-239.90-112.14

Finding the Fourth Proportional to 160.20, 239.90 and 112.14

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Solution

The fourth proportional to 160.20, 239.90 and 112.14 is: 167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.20 : 239.90 = 112.14 : x
  2. Step 2: Convert to fraction form
    160.20/239.90 = 112.14/x
  3. Step 3: Cross multiply
    160.20x = 239.90 × 112.14
  4. Step 4: Simplify right side
    160.20x = 26,901.83
  5. Step 5: Solve for x
    x = 26,901.83/160.20
  6. Step 6: Final answer
    x = 167.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.