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Finding the Fourth Proportional to 75,228.60, 103,768.26 and 48,405.96

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Solution

The fourth proportional to 75,228.60, 103,768.26 and 48,405.96 is: 66,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,228.60 : 103,768.26 = 48,405.96 : x
  2. Step 2: Convert to fraction form
    75,228.60/103,768.26 = 48,405.96/x
  3. Step 3: Cross multiply
    75,228.60x = 103,768.26 × 48,405.96
  4. Step 4: Simplify right side
    75,228.60x = 5,023,002,242.83
  5. Step 5: Solve for x
    x = 5,023,002,242.83/75,228.60
  6. Step 6: Final answer
    x = 66,769.85

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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.