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Finding the Fourth Proportional to 202,059.91, 278,837.30 and 111,414.34

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Solution

The fourth proportional to 202,059.91, 278,837.30 and 111,414.34 is: 153,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,059.91 : 278,837.30 = 111,414.34 : x
  2. Step 2: Convert to fraction form
    202,059.91/278,837.30 = 111,414.34/x
  3. Step 3: Cross multiply
    202,059.91x = 278,837.30 × 111,414.34
  4. Step 4: Simplify right side
    202,059.91x = 31,066,471,795.62
  5. Step 5: Solve for x
    x = 31,066,471,795.62/202,059.91
  6. Step 6: Final answer
    x = 153,748.82

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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.