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Finding the Fourth Proportional to 105.32, 157.25 and 93.78

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Solution

The fourth proportional to 105.32, 157.25 and 93.78 is: 140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.32 : 157.25 = 93.78 : x
  2. Step 2: Convert to fraction form
    105.32/157.25 = 93.78/x
  3. Step 3: Cross multiply
    105.32x = 157.25 × 93.78
  4. Step 4: Simplify right side
    105.32x = 14,747.14
  5. Step 5: Solve for x
    x = 14,747.14/105.32
  6. Step 6: Final answer
    x = 140.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.