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Finding the Fourth Proportional to 75,134.28, 103,823.46 and 53,879.88

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Solution

The fourth proportional to 75,134.28, 103,823.46 and 53,879.88 is: 74,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,134.28 : 103,823.46 = 53,879.88 : x
  2. Step 2: Convert to fraction form
    75,134.28/103,823.46 = 53,879.88/x
  3. Step 3: Cross multiply
    75,134.28x = 103,823.46 × 53,879.88
  4. Step 4: Simplify right side
    75,134.28x = 5,593,995,565.98
  5. Step 5: Solve for x
    x = 5,593,995,565.98/75,134.28
  6. Step 6: Final answer
    x = 74,453.31

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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.