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Finding the Fourth Proportional to 215,072, 296,799.36 and 120,864

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Solution

The fourth proportional to 215,072, 296,799.36 and 120,864 is: 166,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,072 : 296,799.36 = 120,864 : x
  2. Step 2: Convert to fraction form
    215,072/296,799.36 = 120,864/x
  3. Step 3: Cross multiply
    215,072x = 296,799.36 × 120,864
  4. Step 4: Simplify right side
    215,072x = 35,872,357,847.04
  5. Step 5: Solve for x
    x = 35,872,357,847.04/215,072
  6. Step 6: Final answer
    x = 166,792.32

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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.