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Finding the Fourth Proportional to 92.02, 137.79 and 61.49

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Solution

The fourth proportional to 92.02, 137.79 and 61.49 is: 92.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.02 : 137.79 = 61.49 : x
  2. Step 2: Convert to fraction form
    92.02/137.79 = 61.49/x
  3. Step 3: Cross multiply
    92.02x = 137.79 × 61.49
  4. Step 4: Simplify right side
    92.02x = 8,472.02
  5. Step 5: Solve for x
    x = 8,472.02/92.02
  6. Step 6: Final answer
    x = 92.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.