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Finding the Fourth Proportional to 121.20, 181.77 and 43.10

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Solution

The fourth proportional to 121.20, 181.77 and 43.10 is: 64.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.20 : 181.77 = 43.10 : x
  2. Step 2: Convert to fraction form
    121.20/181.77 = 43.10/x
  3. Step 3: Cross multiply
    121.20x = 181.77 × 43.10
  4. Step 4: Simplify right side
    121.20x = 7,834.29
  5. Step 5: Solve for x
    x = 7,834.29/121.20
  6. Step 6: Final answer
    x = 64.64

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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.