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Finding the Fourth Proportional to 211,574.53, 291,992.62 and 120,912.78

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Solution

The fourth proportional to 211,574.53, 291,992.62 and 120,912.78 is: 166,870.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,574.53 : 291,992.62 = 120,912.78 : x
  2. Step 2: Convert to fraction form
    211,574.53/291,992.62 = 120,912.78/x
  3. Step 3: Cross multiply
    211,574.53x = 291,992.62 × 120,912.78
  4. Step 4: Simplify right side
    211,574.53x = 35,305,639,423.68
  5. Step 5: Solve for x
    x = 35,305,639,423.68/211,574.53
  6. Step 6: Final answer
    x = 166,870.93

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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.