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Finding the Fourth Proportional to 201,783.96, 278,318.43 and 132,789.78

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Solution

The fourth proportional to 201,783.96, 278,318.43 and 132,789.78 is: 183,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,783.96 : 278,318.43 = 132,789.78 : x
  2. Step 2: Convert to fraction form
    201,783.96/278,318.43 = 132,789.78/x
  3. Step 3: Cross multiply
    201,783.96x = 278,318.43 × 132,789.78
  4. Step 4: Simplify right side
    201,783.96x = 36,957,843,089.65
  5. Step 5: Solve for x
    x = 36,957,843,089.65/201,783.96
  6. Step 6: Final answer
    x = 183,155.50

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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.