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Finding the Fourth Proportional to 209,502.41, 289,144.46 and 123,433.88

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Solution

The fourth proportional to 209,502.41, 289,144.46 and 123,433.88 is: 170,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,502.41 : 289,144.46 = 123,433.88 : x
  2. Step 2: Convert to fraction form
    209,502.41/289,144.46 = 123,433.88/x
  3. Step 3: Cross multiply
    209,502.41x = 289,144.46 × 123,433.88
  4. Step 4: Simplify right side
    209,502.41x = 35,690,223,609.75
  5. Step 5: Solve for x
    x = 35,690,223,609.75/209,502.41
  6. Step 6: Final answer
    x = 170,357.10

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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.