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Finding the Fourth Proportional to 92.53, 127.34 and 77.74

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Solution

The fourth proportional to 92.53, 127.34 and 77.74 is: 106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.53 : 127.34 = 77.74 : x
  2. Step 2: Convert to fraction form
    92.53/127.34 = 77.74/x
  3. Step 3: Cross multiply
    92.53x = 127.34 × 77.74
  4. Step 4: Simplify right side
    92.53x = 9,899.00
  5. Step 5: Solve for x
    x = 9,899.00/92.53
  6. Step 6: Final answer
    x = 106.99

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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.