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Finding the Fourth Proportional to 205,109.14, 307,800.99 and 71,990.02

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Solution

The fourth proportional to 205,109.14, 307,800.99 and 71,990.02 is: 108,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,109.14 : 307,800.99 = 71,990.02 : x
  2. Step 2: Convert to fraction form
    205,109.14/307,800.99 = 71,990.02/x
  3. Step 3: Cross multiply
    205,109.14x = 307,800.99 × 71,990.02
  4. Step 4: Simplify right side
    205,109.14x = 22,158,599,426.12
  5. Step 5: Solve for x
    x = 22,158,599,426.12/205,109.14
  6. Step 6: Final answer
    x = 108,033.21

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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.