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Finding the Fourth Proportional to 75,321.87, 112,983.46 and 19,162.03

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Solution

The fourth proportional to 75,321.87, 112,983.46 and 19,162.03 is: 28,743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,321.87 : 112,983.46 = 19,162.03 : x
  2. Step 2: Convert to fraction form
    75,321.87/112,983.46 = 19,162.03/x
  3. Step 3: Cross multiply
    75,321.87x = 112,983.46 × 19,162.03
  4. Step 4: Simplify right side
    75,321.87x = 2,164,992,732.48
  5. Step 5: Solve for x
    x = 2,164,992,732.48/75,321.87
  6. Step 6: Final answer
    x = 28,743.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.