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Finding the Fourth Proportional to 89.60, 134.80 and 83.92

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Solution

The fourth proportional to 89.60, 134.80 and 83.92 is: 126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.60 : 134.80 = 83.92 : x
  2. Step 2: Convert to fraction form
    89.60/134.80 = 83.92/x
  3. Step 3: Cross multiply
    89.60x = 134.80 × 83.92
  4. Step 4: Simplify right side
    89.60x = 11,312.42
  5. Step 5: Solve for x
    x = 11,312.42/89.60
  6. Step 6: Final answer
    x = 126.25

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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.