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Finding the Fourth Proportional to 217,743, 326,614.50 and 69,999

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Solution

The fourth proportional to 217,743, 326,614.50 and 69,999 is: 104,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,743 : 326,614.50 = 69,999 : x
  2. Step 2: Convert to fraction form
    217,743/326,614.50 = 69,999/x
  3. Step 3: Cross multiply
    217,743x = 326,614.50 × 69,999
  4. Step 4: Simplify right side
    217,743x = 22,862,688,385.50
  5. Step 5: Solve for x
    x = 22,862,688,385.50/217,743
  6. Step 6: Final answer
    x = 104,998.50

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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.