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Finding the Fourth Proportional to 75,118, 103,665 and 41,586.16

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Solution

The fourth proportional to 75,118, 103,665 and 41,586.16 is: 57,390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,118 : 103,665 = 41,586.16 : x
  2. Step 2: Convert to fraction form
    75,118/103,665 = 41,586.16/x
  3. Step 3: Cross multiply
    75,118x = 103,665 × 41,586.16
  4. Step 4: Simplify right side
    75,118x = 4,311,029,276.40
  5. Step 5: Solve for x
    x = 4,311,029,276.40/75,118
  6. Step 6: Final answer
    x = 57,390.10

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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.