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Finding the Fourth Proportional to 75,638.39, 104,380.11 and 41,646.16

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Solution

The fourth proportional to 75,638.39, 104,380.11 and 41,646.16 is: 57,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,638.39 : 104,380.11 = 41,646.16 : x
  2. Step 2: Convert to fraction form
    75,638.39/104,380.11 = 41,646.16/x
  3. Step 3: Cross multiply
    75,638.39x = 104,380.11 × 41,646.16
  4. Step 4: Simplify right side
    75,638.39x = 4,347,030,892.35
  5. Step 5: Solve for x
    x = 4,347,030,892.35/75,638.39
  6. Step 6: Final answer
    x = 57,471.23

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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.