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Finding the Fourth Proportional to 218,736, 301,986.90 and 143,415.72

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Solution

The fourth proportional to 218,736, 301,986.90 and 143,415.72 is: 197,999.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,736 : 301,986.90 = 143,415.72 : x
  2. Step 2: Convert to fraction form
    218,736/301,986.90 = 143,415.72/x
  3. Step 3: Cross multiply
    218,736x = 301,986.90 × 143,415.72
  4. Step 4: Simplify right side
    218,736x = 43,309,668,694.07
  5. Step 5: Solve for x
    x = 43,309,668,694.07/218,736
  6. Step 6: Final answer
    x = 197,999.73

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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.