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Finding the Fourth Proportional to 205,803.10, 309,021.45 and 112,491.10

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Solution

The fourth proportional to 205,803.10, 309,021.45 and 112,491.10 is: 168,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,803.10 : 309,021.45 = 112,491.10 : x
  2. Step 2: Convert to fraction form
    205,803.10/309,021.45 = 112,491.10/x
  3. Step 3: Cross multiply
    205,803.10x = 309,021.45 × 112,491.10
  4. Step 4: Simplify right side
    205,803.10x = 34,762,162,834.10
  5. Step 5: Solve for x
    x = 34,762,162,834.10/205,803.10
  6. Step 6: Final answer
    x = 168,909.81

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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.