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Finding the Fourth Proportional to 92.64, 139.67 and 89.81

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Solution

The fourth proportional to 92.64, 139.67 and 89.81 is: 135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.64 : 139.67 = 89.81 : x
  2. Step 2: Convert to fraction form
    92.64/139.67 = 89.81/x
  3. Step 3: Cross multiply
    92.64x = 139.67 × 89.81
  4. Step 4: Simplify right side
    92.64x = 12,542.62
  5. Step 5: Solve for x
    x = 12,542.62/92.64
  6. Step 6: Final answer
    x = 135.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.