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Finding the Fourth Proportional to 202,709.78, 279,747.38 and 134,609.33

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Solution

The fourth proportional to 202,709.78, 279,747.38 and 134,609.33 is: 185,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,709.78 : 279,747.38 = 134,609.33 : x
  2. Step 2: Convert to fraction form
    202,709.78/279,747.38 = 134,609.33/x
  3. Step 3: Cross multiply
    202,709.78x = 279,747.38 × 134,609.33
  4. Step 4: Simplify right side
    202,709.78x = 37,656,607,391.06
  5. Step 5: Solve for x
    x = 37,656,607,391.06/202,709.78
  6. Step 6: Final answer
    x = 185,766.11

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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.