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Finding the Fourth Proportional to 189,751.28, 284,673.62 and 133,700.86

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Solution

The fourth proportional to 189,751.28, 284,673.62 and 133,700.86 is: 200,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,751.28 : 284,673.62 = 133,700.86 : x
  2. Step 2: Convert to fraction form
    189,751.28/284,673.62 = 133,700.86/x
  3. Step 3: Cross multiply
    189,751.28x = 284,673.62 × 133,700.86
  4. Step 4: Simplify right side
    189,751.28x = 38,061,107,813.31
  5. Step 5: Solve for x
    x = 38,061,107,813.31/189,751.28
  6. Step 6: Final answer
    x = 200,584.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.