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Finding the Fourth Proportional to 75,200.40, 112,800.74 and 30,819.21

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Solution

The fourth proportional to 75,200.40, 112,800.74 and 30,819.21 is: 46,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,200.40 : 112,800.74 = 30,819.21 : x
  2. Step 2: Convert to fraction form
    75,200.40/112,800.74 = 30,819.21/x
  3. Step 3: Cross multiply
    75,200.40x = 112,800.74 × 30,819.21
  4. Step 4: Simplify right side
    75,200.40x = 3,476,429,540.12
  5. Step 5: Solve for x
    x = 3,476,429,540.12/75,200.40
  6. Step 6: Final answer
    x = 46,228.87

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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.