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Finding the Fourth Proportional to 205,803.60, 309,022.20 and 112,491.60

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Solution

The fourth proportional to 205,803.60, 309,022.20 and 112,491.60 is: 168,910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,803.60 : 309,022.20 = 112,491.60 : x
  2. Step 2: Convert to fraction form
    205,803.60/309,022.20 = 112,491.60/x
  3. Step 3: Cross multiply
    205,803.60x = 309,022.20 × 112,491.60
  4. Step 4: Simplify right side
    205,803.60x = 34,762,401,713.52
  5. Step 5: Solve for x
    x = 34,762,401,713.52/205,803.60
  6. Step 6: Final answer
    x = 168,910.56

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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.