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Finding the Fourth Proportional to 205,843.16, 309,048.09 and 104,709.68

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Solution

The fourth proportional to 205,843.16, 309,048.09 and 104,709.68 is: 157,208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,843.16 : 309,048.09 = 104,709.68 : x
  2. Step 2: Convert to fraction form
    205,843.16/309,048.09 = 104,709.68/x
  3. Step 3: Cross multiply
    205,843.16x = 309,048.09 × 104,709.68
  4. Step 4: Simplify right side
    205,843.16x = 32,360,326,608.51
  5. Step 5: Solve for x
    x = 32,360,326,608.51/205,843.16
  6. Step 6: Final answer
    x = 157,208.66

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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.