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Finding the Fourth Proportional to 217,736.88, 300,491.76 and 120,952.08

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Solution

The fourth proportional to 217,736.88, 300,491.76 and 120,952.08 is: 166,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,736.88 : 300,491.76 = 120,952.08 : x
  2. Step 2: Convert to fraction form
    217,736.88/300,491.76 = 120,952.08/x
  3. Step 3: Cross multiply
    217,736.88x = 300,491.76 × 120,952.08
  4. Step 4: Simplify right side
    217,736.88x = 36,345,103,394.86
  5. Step 5: Solve for x
    x = 36,345,103,394.86/217,736.88
  6. Step 6: Final answer
    x = 166,922.13

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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.