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Finding the Fourth Proportional to 217,638.98, 300,342.37 and 120,843.02

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Solution

The fourth proportional to 217,638.98, 300,342.37 and 120,843.02 is: 166,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,638.98 : 300,342.37 = 120,843.02 : x
  2. Step 2: Convert to fraction form
    217,638.98/300,342.37 = 120,843.02/x
  3. Step 3: Cross multiply
    217,638.98x = 300,342.37 × 120,843.02
  4. Step 4: Simplify right side
    217,638.98x = 36,294,277,523.05
  5. Step 5: Solve for x
    x = 36,294,277,523.05/217,638.98
  6. Step 6: Final answer
    x = 166,763.69

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1.5x scale

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.