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Finding the Fourth Proportional to 191,990.54, 264,871.16 and 120,344.42

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Solution

The fourth proportional to 191,990.54, 264,871.16 and 120,344.42 is: 166,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,990.54 : 264,871.16 = 120,344.42 : x
  2. Step 2: Convert to fraction form
    191,990.54/264,871.16 = 120,344.42/x
  3. Step 3: Cross multiply
    191,990.54x = 264,871.16 × 120,344.42
  4. Step 4: Simplify right side
    191,990.54x = 31,875,764,198.85
  5. Step 5: Solve for x
    x = 31,875,764,198.85/191,990.54
  6. Step 6: Final answer
    x = 166,027.79

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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.