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Finding the Fourth Proportional to 205,636, 308,313.46 and 109,587.68

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Solution

The fourth proportional to 205,636, 308,313.46 and 109,587.68 is: 164,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,636 : 308,313.46 = 109,587.68 : x
  2. Step 2: Convert to fraction form
    205,636/308,313.46 = 109,587.68/x
  3. Step 3: Cross multiply
    205,636x = 308,313.46 × 109,587.68
  4. Step 4: Simplify right side
    205,636x = 33,787,356,794.17
  5. Step 5: Solve for x
    x = 33,787,356,794.17/205,636
  6. Step 6: Final answer
    x = 164,306.62

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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.