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Finding the Fourth Proportional to 215,724, 297,709.26 and 120,231.39

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Solution

The fourth proportional to 215,724, 297,709.26 and 120,231.39 is: 165,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,724 : 297,709.26 = 120,231.39 : x
  2. Step 2: Convert to fraction form
    215,724/297,709.26 = 120,231.39/x
  3. Step 3: Cross multiply
    215,724x = 297,709.26 × 120,231.39
  4. Step 4: Simplify right side
    215,724x = 35,793,998,145.67
  5. Step 5: Solve for x
    x = 35,793,998,145.67/215,724
  6. Step 6: Final answer
    x = 165,924.97

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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.