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Finding the Fourth Proportional to 205,380, 283,424.40 and 111,172

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Solution

The fourth proportional to 205,380, 283,424.40 and 111,172 is: 153,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,380 : 283,424.40 = 111,172 : x
  2. Step 2: Convert to fraction form
    205,380/283,424.40 = 111,172/x
  3. Step 3: Cross multiply
    205,380x = 283,424.40 × 111,172
  4. Step 4: Simplify right side
    205,380x = 31,508,857,396.80
  5. Step 5: Solve for x
    x = 31,508,857,396.80/205,380
  6. Step 6: Final answer
    x = 153,417.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.