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Finding the Fourth Proportional to 206,542.47, 285,005.48 and 115,879.58

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Solution

The fourth proportional to 206,542.47, 285,005.48 and 115,879.58 is: 159,900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,542.47 : 285,005.48 = 115,879.58 : x
  2. Step 2: Convert to fraction form
    206,542.47/285,005.48 = 115,879.58/x
  3. Step 3: Cross multiply
    206,542.47x = 285,005.48 × 115,879.58
  4. Step 4: Simplify right side
    206,542.47x = 33,026,313,315.67
  5. Step 5: Solve for x
    x = 33,026,313,315.67/206,542.47
  6. Step 6: Final answer
    x = 159,900.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.