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Finding the Fourth Proportional to 215,398.85, 297,255.62 and 119,912.00

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Solution

The fourth proportional to 215,398.85, 297,255.62 and 119,912.00 is: 165,481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,398.85 : 297,255.62 = 119,912.00 : x
  2. Step 2: Convert to fraction form
    215,398.85/297,255.62 = 119,912.00/x
  3. Step 3: Cross multiply
    215,398.85x = 297,255.62 × 119,912.00
  4. Step 4: Simplify right side
    215,398.85x = 35,644,514,718.94
  5. Step 5: Solve for x
    x = 35,644,514,718.94/215,398.85
  6. Step 6: Final answer
    x = 165,481.46

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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.