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Finding the Fourth Proportional to 217,674.81, 300,454.02 and 131,634

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Solution

The fourth proportional to 217,674.81, 300,454.02 and 131,634 is: 181,692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,674.81 : 300,454.02 = 131,634 : x
  2. Step 2: Convert to fraction form
    217,674.81/300,454.02 = 131,634/x
  3. Step 3: Cross multiply
    217,674.81x = 300,454.02 × 131,634
  4. Step 4: Simplify right side
    217,674.81x = 39,549,964,468.68
  5. Step 5: Solve for x
    x = 39,549,964,468.68/217,674.81
  6. Step 6: Final answer
    x = 181,692.89

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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.