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Finding the Fourth Proportional to 73,307.64, 109,959.30 and 20,716.23

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Solution

The fourth proportional to 73,307.64, 109,959.30 and 20,716.23 is: 31,073.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,307.64 : 109,959.30 = 20,716.23 : x
  2. Step 2: Convert to fraction form
    73,307.64/109,959.30 = 20,716.23/x
  3. Step 3: Cross multiply
    73,307.64x = 109,959.30 × 20,716.23
  4. Step 4: Simplify right side
    73,307.64x = 2,277,942,149.44
  5. Step 5: Solve for x
    x = 2,277,942,149.44/73,307.64
  6. Step 6: Final answer
    x = 31,073.73

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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.