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Finding the Fourth Proportional to 80,952.56, 121,399.68 and 34,209.08

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Solution

The fourth proportional to 80,952.56, 121,399.68 and 34,209.08 is: 51,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,952.56 : 121,399.68 = 34,209.08 : x
  2. Step 2: Convert to fraction form
    80,952.56/121,399.68 = 34,209.08/x
  3. Step 3: Cross multiply
    80,952.56x = 121,399.68 × 34,209.08
  4. Step 4: Simplify right side
    80,952.56x = 4,152,971,365.09
  5. Step 5: Solve for x
    x = 4,152,971,365.09/80,952.56
  6. Step 6: Final answer
    x = 51,301.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.