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Finding the Fourth Proportional to 143,309.73, 214,965.09 and 43,470.78

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Solution

The fourth proportional to 143,309.73, 214,965.09 and 43,470.78 is: 65,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,309.73 : 214,965.09 = 43,470.78 : x
  2. Step 2: Convert to fraction form
    143,309.73/214,965.09 = 43,470.78/x
  3. Step 3: Cross multiply
    143,309.73x = 214,965.09 × 43,470.78
  4. Step 4: Simplify right side
    143,309.73x = 9,344,700,135.07
  5. Step 5: Solve for x
    x = 9,344,700,135.07/143,309.73
  6. Step 6: Final answer
    x = 65,206.32

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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.