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Finding the Fourth Proportional to 205,667.79, 308,534.09 and 87,339.75

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Solution

The fourth proportional to 205,667.79, 308,534.09 and 87,339.75 is: 131,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,667.79 : 308,534.09 = 87,339.75 : x
  2. Step 2: Convert to fraction form
    205,667.79/308,534.09 = 87,339.75/x
  3. Step 3: Cross multiply
    205,667.79x = 308,534.09 × 87,339.75
  4. Step 4: Simplify right side
    205,667.79x = 26,947,289,850.38
  5. Step 5: Solve for x
    x = 26,947,289,850.38/205,667.79
  6. Step 6: Final answer
    x = 131,023.38

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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.