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Finding the Fourth Proportional to 217,602.56, 326,334.72 and 69,824

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Solution

The fourth proportional to 217,602.56, 326,334.72 and 69,824 is: 104,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,602.56 : 326,334.72 = 69,824 : x
  2. Step 2: Convert to fraction form
    217,602.56/326,334.72 = 69,824/x
  3. Step 3: Cross multiply
    217,602.56x = 326,334.72 × 69,824
  4. Step 4: Simplify right side
    217,602.56x = 22,785,995,489.28
  5. Step 5: Solve for x
    x = 22,785,995,489.28/217,602.56
  6. Step 6: Final answer
    x = 104,713.82

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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.