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Finding the Fourth Proportional to 100,659.62, 151,014.09 and 50,082.51

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Solution

The fourth proportional to 100,659.62, 151,014.09 and 50,082.51 is: 75,136.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,659.62 : 151,014.09 = 50,082.51 : x
  2. Step 2: Convert to fraction form
    100,659.62/151,014.09 = 50,082.51/x
  3. Step 3: Cross multiply
    100,659.62x = 151,014.09 × 50,082.51
  4. Step 4: Simplify right side
    100,659.62x = 7,563,165,426.68
  5. Step 5: Solve for x
    x = 7,563,165,426.68/100,659.62
  6. Step 6: Final answer
    x = 75,136.04

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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.