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Finding the Fourth Proportional to 217,252.92, 299,803.91 and 120,456.30

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Solution

The fourth proportional to 217,252.92, 299,803.91 and 120,456.30 is: 166,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,252.92 : 299,803.91 = 120,456.30 : x
  2. Step 2: Convert to fraction form
    217,252.92/299,803.91 = 120,456.30/x
  3. Step 3: Cross multiply
    217,252.92x = 299,803.91 × 120,456.30
  4. Step 4: Simplify right side
    217,252.92x = 36,113,269,121.85
  5. Step 5: Solve for x
    x = 36,113,269,121.85/217,252.92
  6. Step 6: Final answer
    x = 166,226.85

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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.