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Finding the Fourth Proportional to 135.68, 204.51 and 124.16

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Solution

The fourth proportional to 135.68, 204.51 and 124.16 is: 187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.68 : 204.51 = 124.16 : x
  2. Step 2: Convert to fraction form
    135.68/204.51 = 124.16/x
  3. Step 3: Cross multiply
    135.68x = 204.51 × 124.16
  4. Step 4: Simplify right side
    135.68x = 25,391.96
  5. Step 5: Solve for x
    x = 25,391.96/135.68
  6. Step 6: Final answer
    x = 187.15

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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.