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Finding the Fourth Proportional to 85.56, 117.75 and 63.69

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Solution

The fourth proportional to 85.56, 117.75 and 63.69 is: 87.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.56 : 117.75 = 63.69 : x
  2. Step 2: Convert to fraction form
    85.56/117.75 = 63.69/x
  3. Step 3: Cross multiply
    85.56x = 117.75 × 63.69
  4. Step 4: Simplify right side
    85.56x = 7,499.50
  5. Step 5: Solve for x
    x = 7,499.50/85.56
  6. Step 6: Final answer
    x = 87.65

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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.