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Finding the Fourth Proportional to 109,212.66, 163,819.06 and 30,326.90

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Solution

The fourth proportional to 109,212.66, 163,819.06 and 30,326.90 is: 45,490.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,212.66 : 163,819.06 = 30,326.90 : x
  2. Step 2: Convert to fraction form
    109,212.66/163,819.06 = 30,326.90/x
  3. Step 3: Cross multiply
    109,212.66x = 163,819.06 × 30,326.90
  4. Step 4: Simplify right side
    109,212.66x = 4,968,123,355.80
  5. Step 5: Solve for x
    x = 4,968,123,355.80/109,212.66
  6. Step 6: Final answer
    x = 45,490.36

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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.