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Finding the Fourth Proportional to 215,056, 296,777.28 and 120,848

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Solution

The fourth proportional to 215,056, 296,777.28 and 120,848 is: 166,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,056 : 296,777.28 = 120,848 : x
  2. Step 2: Convert to fraction form
    215,056/296,777.28 = 120,848/x
  3. Step 3: Cross multiply
    215,056x = 296,777.28 × 120,848
  4. Step 4: Simplify right side
    215,056x = 35,864,940,733.44
  5. Step 5: Solve for x
    x = 35,864,940,733.44/215,056
  6. Step 6: Final answer
    x = 166,770.24

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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.