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Finding the Fourth Proportional to 92.59, 126.98 and 87.91

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Solution

The fourth proportional to 92.59, 126.98 and 87.91 is: 120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.59 : 126.98 = 87.91 : x
  2. Step 2: Convert to fraction form
    92.59/126.98 = 87.91/x
  3. Step 3: Cross multiply
    92.59x = 126.98 × 87.91
  4. Step 4: Simplify right side
    92.59x = 11,162.81
  5. Step 5: Solve for x
    x = 11,162.81/92.59
  6. Step 6: Final answer
    x = 120.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.