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Finding the Fourth Proportional to 86.19, 129.31 and 73.38

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Solution

The fourth proportional to 86.19, 129.31 and 73.38 is: 110.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.19 : 129.31 = 73.38 : x
  2. Step 2: Convert to fraction form
    86.19/129.31 = 73.38/x
  3. Step 3: Cross multiply
    86.19x = 129.31 × 73.38
  4. Step 4: Simplify right side
    86.19x = 9,488.77
  5. Step 5: Solve for x
    x = 9,488.77/86.19
  6. Step 6: Final answer
    x = 110.09

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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.