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Finding the Fourth Proportional to 100,906.72, 151,382.08 and 30,784.16

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Solution

The fourth proportional to 100,906.72, 151,382.08 and 30,784.16 is: 46,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,906.72 : 151,382.08 = 30,784.16 : x
  2. Step 2: Convert to fraction form
    100,906.72/151,382.08 = 30,784.16/x
  3. Step 3: Cross multiply
    100,906.72x = 151,382.08 × 30,784.16
  4. Step 4: Simplify right side
    100,906.72x = 4,660,170,171.85
  5. Step 5: Solve for x
    x = 4,660,170,171.85/100,906.72
  6. Step 6: Final answer
    x = 46,182.95

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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.