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Finding the Fourth Proportional to 92.50, 137.97 and 78.14

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Solution

The fourth proportional to 92.50, 137.97 and 78.14 is: 116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.50 : 137.97 = 78.14 : x
  2. Step 2: Convert to fraction form
    92.50/137.97 = 78.14/x
  3. Step 3: Cross multiply
    92.50x = 137.97 × 78.14
  4. Step 4: Simplify right side
    92.50x = 10,780.98
  5. Step 5: Solve for x
    x = 10,780.98/92.50
  6. Step 6: Final answer
    x = 116.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.