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Finding the Fourth Proportional to 100,857.40, 151,286.10 and 30,736.60

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Solution

The fourth proportional to 100,857.40, 151,286.10 and 30,736.60 is: 46,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,857.40 : 151,286.10 = 30,736.60 : x
  2. Step 2: Convert to fraction form
    100,857.40/151,286.10 = 30,736.60/x
  3. Step 3: Cross multiply
    100,857.40x = 151,286.10 × 30,736.60
  4. Step 4: Simplify right side
    100,857.40x = 4,650,020,341.26
  5. Step 5: Solve for x
    x = 4,650,020,341.26/100,857.40
  6. Step 6: Final answer
    x = 46,104.90

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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.