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Finding the Fourth Proportional to 135.04, 186.24 and 85.92

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Solution

The fourth proportional to 135.04, 186.24 and 85.92 is: 118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.04 : 186.24 = 85.92 : x
  2. Step 2: Convert to fraction form
    135.04/186.24 = 85.92/x
  3. Step 3: Cross multiply
    135.04x = 186.24 × 85.92
  4. Step 4: Simplify right side
    135.04x = 16,001.74
  5. Step 5: Solve for x
    x = 16,001.74/135.04
  6. Step 6: Final answer
    x = 118.50

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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.