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Finding the Fourth Proportional to 209,327.69, 288,748.87 and 131,679.54

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Solution

The fourth proportional to 209,327.69, 288,748.87 and 131,679.54 is: 181,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,327.69 : 288,748.87 = 131,679.54 : x
  2. Step 2: Convert to fraction form
    209,327.69/288,748.87 = 131,679.54/x
  3. Step 3: Cross multiply
    209,327.69x = 288,748.87 × 131,679.54
  4. Step 4: Simplify right side
    209,327.69x = 38,022,318,047.92
  5. Step 5: Solve for x
    x = 38,022,318,047.92/209,327.69
  6. Step 6: Final answer
    x = 181,640.17

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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.