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Finding the Fourth Proportional to 142.16, 195.62 and 109.40

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Solution

The fourth proportional to 142.16, 195.62 and 109.40 is: 150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.16 : 195.62 = 109.40 : x
  2. Step 2: Convert to fraction form
    142.16/195.62 = 109.40/x
  3. Step 3: Cross multiply
    142.16x = 195.62 × 109.40
  4. Step 4: Simplify right side
    142.16x = 21,400.83
  5. Step 5: Solve for x
    x = 21,400.83/142.16
  6. Step 6: Final answer
    x = 150.54

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Why These Related Problems?

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