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Finding the Fourth Proportional to 67,878, 101,819.75 and 32,321.03

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Solution

The fourth proportional to 67,878, 101,819.75 and 32,321.03 is: 48,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,878 : 101,819.75 = 32,321.03 : x
  2. Step 2: Convert to fraction form
    67,878/101,819.75 = 32,321.03/x
  3. Step 3: Cross multiply
    67,878x = 101,819.75 × 32,321.03
  4. Step 4: Simplify right side
    67,878x = 3,290,918,523.64
  5. Step 5: Solve for x
    x = 3,290,918,523.64/67,878
  6. Step 6: Final answer
    x = 48,482.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.