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Finding the Fourth Proportional to 202,341.58, 279,231.43 and 111,697.61

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Solution

The fourth proportional to 202,341.58, 279,231.43 and 111,697.61 is: 154,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,341.58 : 279,231.43 = 111,697.61 : x
  2. Step 2: Convert to fraction form
    202,341.58/279,231.43 = 111,697.61/x
  3. Step 3: Cross multiply
    202,341.58x = 279,231.43 × 111,697.61
  4. Step 4: Simplify right side
    202,341.58x = 31,189,481,971.73
  5. Step 5: Solve for x
    x = 31,189,481,971.73/202,341.58
  6. Step 6: Final answer
    x = 154,142.72

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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.