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Finding the Fourth Proportional to 70.74, 105.91 and 52.38

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Solution

The fourth proportional to 70.74, 105.91 and 52.38 is: 78.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.74 : 105.91 = 52.38 : x
  2. Step 2: Convert to fraction form
    70.74/105.91 = 52.38/x
  3. Step 3: Cross multiply
    70.74x = 105.91 × 52.38
  4. Step 4: Simplify right side
    70.74x = 5,547.43
  5. Step 5: Solve for x
    x = 5,547.43/70.74
  6. Step 6: Final answer
    x = 78.42

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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.