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Finding the Fourth Proportional to 109,487.20, 164,230.80 and 50,438.20

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Solution

The fourth proportional to 109,487.20, 164,230.80 and 50,438.20 is: 75,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,487.20 : 164,230.80 = 50,438.20 : x
  2. Step 2: Convert to fraction form
    109,487.20/164,230.80 = 50,438.20/x
  3. Step 3: Cross multiply
    109,487.20x = 164,230.80 × 50,438.20
  4. Step 4: Simplify right side
    109,487.20x = 8,283,505,936.56
  5. Step 5: Solve for x
    x = 8,283,505,936.56/109,487.20
  6. Step 6: Final answer
    x = 75,657.30

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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.