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Finding the Fourth Proportional to 75,102.73, 103,638.42 and 41,112.65

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Solution

The fourth proportional to 75,102.73, 103,638.42 and 41,112.65 is: 56,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,102.73 : 103,638.42 = 41,112.65 : x
  2. Step 2: Convert to fraction form
    75,102.73/103,638.42 = 41,112.65/x
  3. Step 3: Cross multiply
    75,102.73x = 103,638.42 × 41,112.65
  4. Step 4: Simplify right side
    75,102.73x = 4,260,850,088.01
  5. Step 5: Solve for x
    x = 4,260,850,088.01/75,102.73
  6. Step 6: Final answer
    x = 56,733.62

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Why These Related Problems?

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