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Finding the Fourth Proportional to 75,203.68, 112,819.74 and 30,228.54

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Solution

The fourth proportional to 75,203.68, 112,819.74 and 30,228.54 is: 45,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,203.68 : 112,819.74 = 30,228.54 : x
  2. Step 2: Convert to fraction form
    75,203.68/112,819.74 = 30,228.54/x
  3. Step 3: Cross multiply
    75,203.68x = 112,819.74 × 30,228.54
  4. Step 4: Simplify right side
    75,203.68x = 3,410,376,023.38
  5. Step 5: Solve for x
    x = 3,410,376,023.38/75,203.68
  6. Step 6: Final answer
    x = 45,348.53

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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.