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Finding the Fourth Proportional to 205,838.01, 284,060.31 and 115,203.96

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Solution

The fourth proportional to 205,838.01, 284,060.31 and 115,203.96 is: 158,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,838.01 : 284,060.31 = 115,203.96 : x
  2. Step 2: Convert to fraction form
    205,838.01/284,060.31 = 115,203.96/x
  3. Step 3: Cross multiply
    205,838.01x = 284,060.31 × 115,203.96
  4. Step 4: Simplify right side
    205,838.01x = 32,724,872,590.83
  5. Step 5: Solve for x
    x = 32,724,872,590.83/205,838.01
  6. Step 6: Final answer
    x = 158,983.62

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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.