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Finding the Fourth Proportional to 104,150, 156,251.64 and 30,278

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Solution

The fourth proportional to 104,150, 156,251.64 and 30,278 is: 45,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,150 : 156,251.64 = 30,278 : x
  2. Step 2: Convert to fraction form
    104,150/156,251.64 = 30,278/x
  3. Step 3: Cross multiply
    104,150x = 156,251.64 × 30,278
  4. Step 4: Simplify right side
    104,150x = 4,730,987,155.92
  5. Step 5: Solve for x
    x = 4,730,987,155.92/104,150
  6. Step 6: Final answer
    x = 45,424.74

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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.