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Finding the Fourth Proportional to 121.09, 181.58 and 52.58

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Solution

The fourth proportional to 121.09, 181.58 and 52.58 is: 78.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.09 : 181.58 = 52.58 : x
  2. Step 2: Convert to fraction form
    121.09/181.58 = 52.58/x
  3. Step 3: Cross multiply
    121.09x = 181.58 × 52.58
  4. Step 4: Simplify right side
    121.09x = 9,546.31
  5. Step 5: Solve for x
    x = 9,546.31/121.09
  6. Step 6: Final answer
    x = 78.84

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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.