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Finding the Fourth Proportional to 217,614.65, 300,292.25 and 120,824.10

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Solution

The fourth proportional to 217,614.65, 300,292.25 and 120,824.10 is: 166,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,614.65 : 300,292.25 = 120,824.10 : x
  2. Step 2: Convert to fraction form
    217,614.65/300,292.25 = 120,824.10/x
  3. Step 3: Cross multiply
    217,614.65x = 300,292.25 × 120,824.10
  4. Step 4: Simplify right side
    217,614.65x = 36,282,540,239.10
  5. Step 5: Solve for x
    x = 36,282,540,239.10/217,614.65
  6. Step 6: Final answer
    x = 166,728.39

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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.