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Finding the Fourth Proportional to 102,705.20, 154,069.80 and 32,591.60

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Solution

The fourth proportional to 102,705.20, 154,069.80 and 32,591.60 is: 48,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,705.20 : 154,069.80 = 32,591.60 : x
  2. Step 2: Convert to fraction form
    102,705.20/154,069.80 = 32,591.60/x
  3. Step 3: Cross multiply
    102,705.20x = 154,069.80 × 32,591.60
  4. Step 4: Simplify right side
    102,705.20x = 5,021,381,293.68
  5. Step 5: Solve for x
    x = 5,021,381,293.68/102,705.20
  6. Step 6: Final answer
    x = 48,891.21

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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.