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Finding the Fourth Proportional to 217,490.67, 300,136.50 and 120,709.14

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Solution

The fourth proportional to 217,490.67, 300,136.50 and 120,709.14 is: 166,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,490.67 : 300,136.50 = 120,709.14 : x
  2. Step 2: Convert to fraction form
    217,490.67/300,136.50 = 120,709.14/x
  3. Step 3: Cross multiply
    217,490.67x = 300,136.50 × 120,709.14
  4. Step 4: Simplify right side
    217,490.67x = 36,229,218,797.61
  5. Step 5: Solve for x
    x = 36,229,218,797.61/217,490.67
  6. Step 6: Final answer
    x = 166,578.27

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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.