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Finding the Fourth Proportional to 109.42, 164.70 and 83.90

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Solution

The fourth proportional to 109.42, 164.70 and 83.90 is: 126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.42 : 164.70 = 83.90 : x
  2. Step 2: Convert to fraction form
    109.42/164.70 = 83.90/x
  3. Step 3: Cross multiply
    109.42x = 164.70 × 83.90
  4. Step 4: Simplify right side
    109.42x = 13,818.74
  5. Step 5: Solve for x
    x = 13,818.74/109.42
  6. Step 6: Final answer
    x = 126.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.