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Finding the Fourth Proportional to 100,908.76, 151,357.50 and 30,782.56

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Solution

The fourth proportional to 100,908.76, 151,357.50 and 30,782.56 is: 46,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,908.76 : 151,357.50 = 30,782.56 : x
  2. Step 2: Convert to fraction form
    100,908.76/151,357.50 = 30,782.56/x
  3. Step 3: Cross multiply
    100,908.76x = 151,357.50 × 30,782.56
  4. Step 4: Simplify right side
    100,908.76x = 4,659,171,325.20
  5. Step 5: Solve for x
    x = 4,659,171,325.20/100,908.76
  6. Step 6: Final answer
    x = 46,172.12

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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.