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Finding the Fourth Proportional to 205,490.25, 308,327.72 and 130,590.97

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Solution

The fourth proportional to 205,490.25, 308,327.72 and 130,590.97 is: 195,945.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,490.25 : 308,327.72 = 130,590.97 : x
  2. Step 2: Convert to fraction form
    205,490.25/308,327.72 = 130,590.97/x
  3. Step 3: Cross multiply
    205,490.25x = 308,327.72 × 130,590.97
  4. Step 4: Simplify right side
    205,490.25x = 40,264,814,608.91
  5. Step 5: Solve for x
    x = 40,264,814,608.91/205,490.25
  6. Step 6: Final answer
    x = 195,945.13

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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.