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Finding the Fourth Proportional to 205,243, 307,786.03 and 98,596.57

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Solution

The fourth proportional to 205,243, 307,786.03 and 98,596.57 is: 147,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,243 : 307,786.03 = 98,596.57 : x
  2. Step 2: Convert to fraction form
    205,243/307,786.03 = 98,596.57/x
  3. Step 3: Cross multiply
    205,243x = 307,786.03 × 98,596.57
  4. Step 4: Simplify right side
    205,243x = 30,346,646,851.92
  5. Step 5: Solve for x
    x = 30,346,646,851.92/205,243
  6. Step 6: Final answer
    x = 147,857.16

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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.