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Finding the Fourth Proportional to 105.48, 146.43 and 101.16

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Solution

The fourth proportional to 105.48, 146.43 and 101.16 is: 140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.48 : 146.43 = 101.16 : x
  2. Step 2: Convert to fraction form
    105.48/146.43 = 101.16/x
  3. Step 3: Cross multiply
    105.48x = 146.43 × 101.16
  4. Step 4: Simplify right side
    105.48x = 14,812.86
  5. Step 5: Solve for x
    x = 14,812.86/105.48
  6. Step 6: Final answer
    x = 140.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.