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Finding the Fourth Proportional to 135.47, 204.27 and 124.13

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Solution

The fourth proportional to 135.47, 204.27 and 124.13 is: 187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.47 : 204.27 = 124.13 : x
  2. Step 2: Convert to fraction form
    135.47/204.27 = 124.13/x
  3. Step 3: Cross multiply
    135.47x = 204.27 × 124.13
  4. Step 4: Simplify right side
    135.47x = 25,356.78
  5. Step 5: Solve for x
    x = 25,356.78/135.47
  6. Step 6: Final answer
    x = 187.17

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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.