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Finding the Fourth Proportional to 202,405.57, 279,295.19 and 111,754.42

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Solution

The fourth proportional to 202,405.57, 279,295.19 and 111,754.42 is: 154,207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,405.57 : 279,295.19 = 111,754.42 : x
  2. Step 2: Convert to fraction form
    202,405.57/279,295.19 = 111,754.42/x
  3. Step 3: Cross multiply
    202,405.57x = 279,295.19 × 111,754.42
  4. Step 4: Simplify right side
    202,405.57x = 31,212,471,129.31
  5. Step 5: Solve for x
    x = 31,212,471,129.31/202,405.57
  6. Step 6: Final answer
    x = 154,207.57

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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.