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Finding the Fourth Proportional to 215,806, 297,808.86 and 120,318.52

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Solution

The fourth proportional to 215,806, 297,808.86 and 120,318.52 is: 166,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,806 : 297,808.86 = 120,318.52 : x
  2. Step 2: Convert to fraction form
    215,806/297,808.86 = 120,318.52/x
  3. Step 3: Cross multiply
    215,806x = 297,808.86 × 120,318.52
  4. Step 4: Simplify right side
    215,806x = 35,831,921,278.09
  5. Step 5: Solve for x
    x = 35,831,921,278.09/215,806
  6. Step 6: Final answer
    x = 166,037.65

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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.