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Finding the Fourth Proportional to 121.17, 182.57 and 108.07

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Solution

The fourth proportional to 121.17, 182.57 and 108.07 is: 162.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.17 : 182.57 = 108.07 : x
  2. Step 2: Convert to fraction form
    121.17/182.57 = 108.07/x
  3. Step 3: Cross multiply
    121.17x = 182.57 × 108.07
  4. Step 4: Simplify right side
    121.17x = 19,730.34
  5. Step 5: Solve for x
    x = 19,730.34/121.17
  6. Step 6: Final answer
    x = 162.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.