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Finding the Fourth Proportional to 218,605.52, 327,954.36 and 70,850

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Solution

The fourth proportional to 218,605.52, 327,954.36 and 70,850 is: 106,289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,605.52 : 327,954.36 = 70,850 : x
  2. Step 2: Convert to fraction form
    218,605.52/327,954.36 = 70,850/x
  3. Step 3: Cross multiply
    218,605.52x = 327,954.36 × 70,850
  4. Step 4: Simplify right side
    218,605.52x = 23,235,566,406
  5. Step 5: Solve for x
    x = 23,235,566,406/218,605.52
  6. Step 6: Final answer
    x = 106,289.93

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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.