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Finding the Fourth Proportional to 89.01, 132.85 and 78.75

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Solution

The fourth proportional to 89.01, 132.85 and 78.75 is: 117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.01 : 132.85 = 78.75 : x
  2. Step 2: Convert to fraction form
    89.01/132.85 = 78.75/x
  3. Step 3: Cross multiply
    89.01x = 132.85 × 78.75
  4. Step 4: Simplify right side
    89.01x = 10,462.04
  5. Step 5: Solve for x
    x = 10,462.04/89.01
  6. Step 6: Final answer
    x = 117.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.