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Finding the Fourth Proportional to 89.92, 134.88 and 52.16

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Solution

The fourth proportional to 89.92, 134.88 and 52.16 is: 78.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.92 : 134.88 = 52.16 : x
  2. Step 2: Convert to fraction form
    89.92/134.88 = 52.16/x
  3. Step 3: Cross multiply
    89.92x = 134.88 × 52.16
  4. Step 4: Simplify right side
    89.92x = 7,035.34
  5. Step 5: Solve for x
    x = 7,035.34/89.92
  6. Step 6: Final answer
    x = 78.24

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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.