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Finding the Fourth Proportional to 189,908.96, 262,390.21 and 149,928.78

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Solution

The fourth proportional to 189,908.96, 262,390.21 and 149,928.78 is: 207,151.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,908.96 : 262,390.21 = 149,928.78 : x
  2. Step 2: Convert to fraction form
    189,908.96/262,390.21 = 149,928.78/x
  3. Step 3: Cross multiply
    189,908.96x = 262,390.21 × 149,928.78
  4. Step 4: Simplify right side
    189,908.96x = 39,339,843,694.42
  5. Step 5: Solve for x
    x = 39,339,843,694.42/189,908.96
  6. Step 6: Final answer
    x = 207,151.06

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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.