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Finding the Fourth Proportional to 77,136.40, 115,704.60 and 27,216.10

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Solution

The fourth proportional to 77,136.40, 115,704.60 and 27,216.10 is: 40,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,136.40 : 115,704.60 = 27,216.10 : x
  2. Step 2: Convert to fraction form
    77,136.40/115,704.60 = 27,216.10/x
  3. Step 3: Cross multiply
    77,136.40x = 115,704.60 × 27,216.10
  4. Step 4: Simplify right side
    77,136.40x = 3,149,027,964.06
  5. Step 5: Solve for x
    x = 3,149,027,964.06/77,136.40
  6. Step 6: Final answer
    x = 40,824.15

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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.