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Finding the Fourth Proportional to 217,630.56, 300,339.54 and 120,834.42

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Solution

The fourth proportional to 217,630.56, 300,339.54 and 120,834.42 is: 166,756.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,630.56 : 300,339.54 = 120,834.42 : x
  2. Step 2: Convert to fraction form
    217,630.56/300,339.54 = 120,834.42/x
  3. Step 3: Cross multiply
    217,630.56x = 300,339.54 × 120,834.42
  4. Step 4: Simplify right side
    217,630.56x = 36,291,354,118.97
  5. Step 5: Solve for x
    x = 36,291,354,118.97/217,630.56
  6. Step 6: Final answer
    x = 166,756.70

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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.