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Finding the Fourth Proportional to 205,634, 308,310.46 and 109,585.68

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Solution

The fourth proportional to 205,634, 308,310.46 and 109,585.68 is: 164,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,634 : 308,310.46 = 109,585.68 : x
  2. Step 2: Convert to fraction form
    205,634/308,310.46 = 109,585.68/x
  3. Step 3: Cross multiply
    205,634x = 308,310.46 × 109,585.68
  4. Step 4: Simplify right side
    205,634x = 33,786,411,410.21
  5. Step 5: Solve for x
    x = 33,786,411,410.21/205,634
  6. Step 6: Final answer
    x = 164,303.62

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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.