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Finding the Fourth Proportional to 85.06, 117.11 and 73.56

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Solution

The fourth proportional to 85.06, 117.11 and 73.56 is: 101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.06 : 117.11 = 73.56 : x
  2. Step 2: Convert to fraction form
    85.06/117.11 = 73.56/x
  3. Step 3: Cross multiply
    85.06x = 117.11 × 73.56
  4. Step 4: Simplify right side
    85.06x = 8,614.61
  5. Step 5: Solve for x
    x = 8,614.61/85.06
  6. Step 6: Final answer
    x = 101.28

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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.