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Finding the Fourth Proportional to 77,147.64, 115,700.00 and 27,221.27

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Solution

The fourth proportional to 77,147.64, 115,700.00 and 27,221.27 is: 40,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,147.64 : 115,700.00 = 27,221.27 : x
  2. Step 2: Convert to fraction form
    77,147.64/115,700.00 = 27,221.27/x
  3. Step 3: Cross multiply
    77,147.64x = 115,700.00 × 27,221.27
  4. Step 4: Simplify right side
    77,147.64x = 3,149,500,224.39
  5. Step 5: Solve for x
    x = 3,149,500,224.39/77,147.64
  6. Step 6: Final answer
    x = 40,824.32

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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.