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Finding the Fourth Proportional to 100,685.25, 151,028.80 and 30,564.56

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Solution

The fourth proportional to 100,685.25, 151,028.80 and 30,564.56 is: 45,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,685.25 : 151,028.80 = 30,564.56 : x
  2. Step 2: Convert to fraction form
    100,685.25/151,028.80 = 30,564.56/x
  3. Step 3: Cross multiply
    100,685.25x = 151,028.80 × 30,564.56
  4. Step 4: Simplify right side
    100,685.25x = 4,616,129,120.49
  5. Step 5: Solve for x
    x = 4,616,129,120.49/100,685.25
  6. Step 6: Final answer
    x = 45,847.12

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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.