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Finding the Fourth Proportional to 75,865.68, 104,682.12 and 42,331.60

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Solution

The fourth proportional to 75,865.68, 104,682.12 and 42,331.60 is: 58,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,865.68 : 104,682.12 = 42,331.60 : x
  2. Step 2: Convert to fraction form
    75,865.68/104,682.12 = 42,331.60/x
  3. Step 3: Cross multiply
    75,865.68x = 104,682.12 × 42,331.60
  4. Step 4: Simplify right side
    75,865.68x = 4,431,361,630.99
  5. Step 5: Solve for x
    x = 4,431,361,630.99/75,865.68
  6. Step 6: Final answer
    x = 58,410.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.