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Finding the Fourth Proportional to 158,269.44, 218,414.40 and 107,984.64

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Solution

The fourth proportional to 158,269.44, 218,414.40 and 107,984.64 is: 149,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,269.44 : 218,414.40 = 107,984.64 : x
  2. Step 2: Convert to fraction form
    158,269.44/218,414.40 = 107,984.64/x
  3. Step 3: Cross multiply
    158,269.44x = 218,414.40 × 107,984.64
  4. Step 4: Simplify right side
    158,269.44x = 23,585,400,354.82
  5. Step 5: Solve for x
    x = 23,585,400,354.82/158,269.44
  6. Step 6: Final answer
    x = 149,020.56

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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.