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Finding the Fourth Proportional to 202,909.11, 280,104.24 and 121,266.16

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Solution

The fourth proportional to 202,909.11, 280,104.24 and 121,266.16 is: 167,400.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,909.11 : 280,104.24 = 121,266.16 : x
  2. Step 2: Convert to fraction form
    202,909.11/280,104.24 = 121,266.16/x
  3. Step 3: Cross multiply
    202,909.11x = 280,104.24 × 121,266.16
  4. Step 4: Simplify right side
    202,909.11x = 33,967,165,584.52
  5. Step 5: Solve for x
    x = 33,967,165,584.52/202,909.11
  6. Step 6: Final answer
    x = 167,400.89

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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.