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Finding the Fourth Proportional to 202,027.05, 278,778.33 and 117,135

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Solution

The fourth proportional to 202,027.05, 278,778.33 and 117,135 is: 161,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,027.05 : 278,778.33 = 117,135 : x
  2. Step 2: Convert to fraction form
    202,027.05/278,778.33 = 117,135/x
  3. Step 3: Cross multiply
    202,027.05x = 278,778.33 × 117,135
  4. Step 4: Simplify right side
    202,027.05x = 32,654,699,684.55
  5. Step 5: Solve for x
    x = 32,654,699,684.55/202,027.05
  6. Step 6: Final answer
    x = 161,635.28

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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.