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Finding the Fourth Proportional to 135.74, 187.32 and 73.57

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Solution

The fourth proportional to 135.74, 187.32 and 73.57 is: 101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.74 : 187.32 = 73.57 : x
  2. Step 2: Convert to fraction form
    135.74/187.32 = 73.57/x
  3. Step 3: Cross multiply
    135.74x = 187.32 × 73.57
  4. Step 4: Simplify right side
    135.74x = 13,780.95
  5. Step 5: Solve for x
    x = 13,780.95/135.74
  6. Step 6: Final answer
    x = 101.52

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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.