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Finding the Fourth Proportional to 209,520.64, 313,914.24 and 142,744

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Solution

The fourth proportional to 209,520.64, 313,914.24 and 142,744 is: 213,866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,520.64 : 313,914.24 = 142,744 : x
  2. Step 2: Convert to fraction form
    209,520.64/313,914.24 = 142,744/x
  3. Step 3: Cross multiply
    209,520.64x = 313,914.24 × 142,744
  4. Step 4: Simplify right side
    209,520.64x = 44,809,374,274.56
  5. Step 5: Solve for x
    x = 44,809,374,274.56/209,520.64
  6. Step 6: Final answer
    x = 213,866.16

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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.