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Finding the Fourth Proportional to 205,019.99, 307,532.73 and 71,904.14

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Solution

The fourth proportional to 205,019.99, 307,532.73 and 71,904.14 is: 107,857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,019.99 : 307,532.73 = 71,904.14 : x
  2. Step 2: Convert to fraction form
    205,019.99/307,532.73 = 71,904.14/x
  3. Step 3: Cross multiply
    205,019.99x = 307,532.73 × 71,904.14
  4. Step 4: Simplify right side
    205,019.99x = 22,112,876,357.73
  5. Step 5: Solve for x
    x = 22,112,876,357.73/205,019.99
  6. Step 6: Final answer
    x = 107,857.17

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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.