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Finding the Fourth Proportional to 101,136.30, 151,704.45 and 99,824.10

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Solution

The fourth proportional to 101,136.30, 151,704.45 and 99,824.10 is: 149,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,136.30 : 151,704.45 = 99,824.10 : x
  2. Step 2: Convert to fraction form
    101,136.30/151,704.45 = 99,824.10/x
  3. Step 3: Cross multiply
    101,136.30x = 151,704.45 × 99,824.10
  4. Step 4: Simplify right side
    101,136.30x = 15,143,760,187.25
  5. Step 5: Solve for x
    x = 15,143,760,187.25/101,136.30
  6. Step 6: Final answer
    x = 149,736.15

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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.