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Finding the Fourth Proportional to 217,605.86, 300,219.10 and 142,198.10

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Solution

The fourth proportional to 217,605.86, 300,219.10 and 142,198.10 is: 196,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,605.86 : 300,219.10 = 142,198.10 : x
  2. Step 2: Convert to fraction form
    217,605.86/300,219.10 = 142,198.10/x
  3. Step 3: Cross multiply
    217,605.86x = 300,219.10 × 142,198.10
  4. Step 4: Simplify right side
    217,605.86x = 42,690,585,603.71
  5. Step 5: Solve for x
    x = 42,690,585,603.71/217,605.86
  6. Step 6: Final answer
    x = 196,183.07

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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.