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Finding the Fourth Proportional to 135.72, 187.31 and 77.50

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Solution

The fourth proportional to 135.72, 187.31 and 77.50 is: 106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.72 : 187.31 = 77.50 : x
  2. Step 2: Convert to fraction form
    135.72/187.31 = 77.50/x
  3. Step 3: Cross multiply
    135.72x = 187.31 × 77.50
  4. Step 4: Simplify right side
    135.72x = 14,516.53
  5. Step 5: Solve for x
    x = 14,516.53/135.72
  6. Step 6: Final answer
    x = 106.96

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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.