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Finding the Fourth Proportional to 75,216.75, 112,825.13 and 19,812.75

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Solution

The fourth proportional to 75,216.75, 112,825.13 and 19,812.75 is: 29,719.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,216.75 : 112,825.13 = 19,812.75 : x
  2. Step 2: Convert to fraction form
    75,216.75/112,825.13 = 19,812.75/x
  3. Step 3: Cross multiply
    75,216.75x = 112,825.13 × 19,812.75
  4. Step 4: Simplify right side
    75,216.75x = 2,235,375,995.34
  5. Step 5: Solve for x
    x = 2,235,375,995.34/75,216.75
  6. Step 6: Final answer
    x = 29,719.13

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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.