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Finding the Fourth Proportional to 75,201.28, 112,802.05 and 30,820.09

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Solution

The fourth proportional to 75,201.28, 112,802.05 and 30,820.09 is: 46,230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,201.28 : 112,802.05 = 30,820.09 : x
  2. Step 2: Convert to fraction form
    75,201.28/112,802.05 = 30,820.09/x
  3. Step 3: Cross multiply
    75,201.28x = 112,802.05 × 30,820.09
  4. Step 4: Simplify right side
    75,201.28x = 3,476,568,769.17
  5. Step 5: Solve for x
    x = 3,476,568,769.17/75,201.28
  6. Step 6: Final answer
    x = 46,230.18

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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.