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Finding the Fourth Proportional to 87.50, 120.75 and 64.54

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Solution

The fourth proportional to 87.50, 120.75 and 64.54 is: 89.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.50 : 120.75 = 64.54 : x
  2. Step 2: Convert to fraction form
    87.50/120.75 = 64.54/x
  3. Step 3: Cross multiply
    87.50x = 120.75 × 64.54
  4. Step 4: Simplify right side
    87.50x = 7,793.21
  5. Step 5: Solve for x
    x = 7,793.21/87.50
  6. Step 6: Final answer
    x = 89.07

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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.