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Finding the Fourth Proportional to 216,542, 324,842.98 and 66,794.06

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Solution

The fourth proportional to 216,542, 324,842.98 and 66,794.06 is: 100,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,542 : 324,842.98 = 66,794.06 : x
  2. Step 2: Convert to fraction form
    216,542/324,842.98 = 66,794.06/x
  3. Step 3: Cross multiply
    216,542x = 324,842.98 × 66,794.06
  4. Step 4: Simplify right side
    216,542x = 21,697,581,496.70
  5. Step 5: Solve for x
    x = 21,697,581,496.70/216,542
  6. Step 6: Final answer
    x = 100,200.34

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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.