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Finding the Fourth Proportional to 202,188.96, 279,021.69 and 111,546

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Solution

The fourth proportional to 202,188.96, 279,021.69 and 111,546 is: 153,933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,188.96 : 279,021.69 = 111,546 : x
  2. Step 2: Convert to fraction form
    202,188.96/279,021.69 = 111,546/x
  3. Step 3: Cross multiply
    202,188.96x = 279,021.69 × 111,546
  4. Step 4: Simplify right side
    202,188.96x = 31,123,753,432.74
  5. Step 5: Solve for x
    x = 31,123,753,432.74/202,188.96
  6. Step 6: Final answer
    x = 153,933.99

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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.