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Finding the Fourth Proportional to 124.66, 170.78 and 120.04

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Solution

The fourth proportional to 124.66, 170.78 and 120.04 is: 164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.66 : 170.78 = 120.04 : x
  2. Step 2: Convert to fraction form
    124.66/170.78 = 120.04/x
  3. Step 3: Cross multiply
    124.66x = 170.78 × 120.04
  4. Step 4: Simplify right side
    124.66x = 20,500.43
  5. Step 5: Solve for x
    x = 20,500.43/124.66
  6. Step 6: Final answer
    x = 164.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.