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Finding the Fourth Proportional to 215,066, 296,791.08 and 120,858

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Solution

The fourth proportional to 215,066, 296,791.08 and 120,858 is: 166,784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,066 : 296,791.08 = 120,858 : x
  2. Step 2: Convert to fraction form
    215,066/296,791.08 = 120,858/x
  3. Step 3: Cross multiply
    215,066x = 296,791.08 × 120,858
  4. Step 4: Simplify right side
    215,066x = 35,869,576,346.64
  5. Step 5: Solve for x
    x = 35,869,576,346.64/215,066
  6. Step 6: Final answer
    x = 166,784.04

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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.