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Finding the Fourth Proportional to 202,514.88, 279,472.50 and 111,873

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Solution

The fourth proportional to 202,514.88, 279,472.50 and 111,873 is: 154,385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,514.88 : 279,472.50 = 111,873 : x
  2. Step 2: Convert to fraction form
    202,514.88/279,472.50 = 111,873/x
  3. Step 3: Cross multiply
    202,514.88x = 279,472.50 × 111,873
  4. Step 4: Simplify right side
    202,514.88x = 31,265,426,992.50
  5. Step 5: Solve for x
    x = 31,265,426,992.50/202,514.88
  6. Step 6: Final answer
    x = 154,385.83

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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.