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Finding the Fourth Proportional to 121.47, 181.20 and 106.89

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Solution

The fourth proportional to 121.47, 181.20 and 106.89 is: 159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.47 : 181.20 = 106.89 : x
  2. Step 2: Convert to fraction form
    121.47/181.20 = 106.89/x
  3. Step 3: Cross multiply
    121.47x = 181.20 × 106.89
  4. Step 4: Simplify right side
    121.47x = 19,368.47
  5. Step 5: Solve for x
    x = 19,368.47/121.47
  6. Step 6: Final answer
    x = 159.45

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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.