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Finding the Fourth Proportional to 209,190.80, 313,610.52 and 145,824.68

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Solution

The fourth proportional to 209,190.80, 313,610.52 and 145,824.68 is: 218,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,190.80 : 313,610.52 = 145,824.68 : x
  2. Step 2: Convert to fraction form
    209,190.80/313,610.52 = 145,824.68/x
  3. Step 3: Cross multiply
    209,190.80x = 313,610.52 × 145,824.68
  4. Step 4: Simplify right side
    209,190.80x = 45,732,153,723.63
  5. Step 5: Solve for x
    x = 45,732,153,723.63/209,190.80
  6. Step 6: Final answer
    x = 218,614.56

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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.