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Finding the Fourth Proportional to 205,929.20, 308,775.48 and 109,748

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Solution

The fourth proportional to 205,929.20, 308,775.48 and 109,748 is: 164,558.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,929.20 : 308,775.48 = 109,748 : x
  2. Step 2: Convert to fraction form
    205,929.20/308,775.48 = 109,748/x
  3. Step 3: Cross multiply
    205,929.20x = 308,775.48 × 109,748
  4. Step 4: Simplify right side
    205,929.20x = 33,887,491,379.04
  5. Step 5: Solve for x
    x = 33,887,491,379.04/205,929.20
  6. Step 6: Final answer
    x = 164,558.94

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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.