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Finding the Fourth Proportional to 202,193.46, 279,027.89 and 111,549.39

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Solution

The fourth proportional to 202,193.46, 279,027.89 and 111,549.39 is: 153,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,193.46 : 279,027.89 = 111,549.39 : x
  2. Step 2: Convert to fraction form
    202,193.46/279,027.89 = 111,549.39/x
  3. Step 3: Cross multiply
    202,193.46x = 279,027.89 × 111,549.39
  4. Step 4: Simplify right side
    202,193.46x = 31,125,389,736.70
  5. Step 5: Solve for x
    x = 31,125,389,736.70/202,193.46
  6. Step 6: Final answer
    x = 153,938.66

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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.