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Finding the Fourth Proportional to 100,906.40, 151,251.60 and 34,284.80

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Solution

The fourth proportional to 100,906.40, 151,251.60 and 34,284.80 is: 51,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,906.40 : 151,251.60 = 34,284.80 : x
  2. Step 2: Convert to fraction form
    100,906.40/151,251.60 = 34,284.80/x
  3. Step 3: Cross multiply
    100,906.40x = 151,251.60 × 34,284.80
  4. Step 4: Simplify right side
    100,906.40x = 5,185,630,855.68
  5. Step 5: Solve for x
    x = 5,185,630,855.68/100,906.40
  6. Step 6: Final answer
    x = 51,390.51

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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.