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Finding the Fourth Proportional to 75,343.50, 103,978.89 and 41,809.50

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Solution

The fourth proportional to 75,343.50, 103,978.89 and 41,809.50 is: 57,699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,343.50 : 103,978.89 = 41,809.50 : x
  2. Step 2: Convert to fraction form
    75,343.50/103,978.89 = 41,809.50/x
  3. Step 3: Cross multiply
    75,343.50x = 103,978.89 × 41,809.50
  4. Step 4: Simplify right side
    75,343.50x = 4,347,305,401.46
  5. Step 5: Solve for x
    x = 4,347,305,401.46/75,343.50
  6. Step 6: Final answer
    x = 57,699.81

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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.