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Finding the Fourth Proportional to 135.77, 186.84 and 124.11

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Solution

The fourth proportional to 135.77, 186.84 and 124.11 is: 170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.77 : 186.84 = 124.11 : x
  2. Step 2: Convert to fraction form
    135.77/186.84 = 124.11/x
  3. Step 3: Cross multiply
    135.77x = 186.84 × 124.11
  4. Step 4: Simplify right side
    135.77x = 23,188.71
  5. Step 5: Solve for x
    x = 23,188.71/135.77
  6. Step 6: Final answer
    x = 170.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.