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Finding the Fourth Proportional to 75,229.68, 103,769.64 and 48,406.96

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Solution

The fourth proportional to 75,229.68, 103,769.64 and 48,406.96 is: 66,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,229.68 : 103,769.64 = 48,406.96 : x
  2. Step 2: Convert to fraction form
    75,229.68/103,769.64 = 48,406.96/x
  3. Step 3: Cross multiply
    75,229.68x = 103,769.64 × 48,406.96
  4. Step 4: Simplify right side
    75,229.68x = 5,023,172,812.69
  5. Step 5: Solve for x
    x = 5,023,172,812.69/75,229.68
  6. Step 6: Final answer
    x = 66,771.16

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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.