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Finding the Fourth Proportional to 143,309.21, 214,964.33 and 43,470.27

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Solution

The fourth proportional to 143,309.21, 214,964.33 and 43,470.27 is: 65,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,309.21 : 214,964.33 = 43,470.27 : x
  2. Step 2: Convert to fraction form
    143,309.21/214,964.33 = 43,470.27/x
  3. Step 3: Cross multiply
    143,309.21x = 214,964.33 × 43,470.27
  4. Step 4: Simplify right side
    143,309.21x = 9,344,557,248.12
  5. Step 5: Solve for x
    x = 9,344,557,248.12/143,309.21
  6. Step 6: Final answer
    x = 65,205.56

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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.