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Finding the Fourth Proportional to 86.70, 119.34 and 75.72

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Solution

The fourth proportional to 86.70, 119.34 and 75.72 is: 104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.70 : 119.34 = 75.72 : x
  2. Step 2: Convert to fraction form
    86.70/119.34 = 75.72/x
  3. Step 3: Cross multiply
    86.70x = 119.34 × 75.72
  4. Step 4: Simplify right side
    86.70x = 9,036.42
  5. Step 5: Solve for x
    x = 9,036.42/86.70
  6. Step 6: Final answer
    x = 104.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.