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Finding the Fourth Proportional to 292,830, 404,105.67 and 158,694

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Solution

The fourth proportional to 292,830, 404,105.67 and 158,694 is: 218,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,830 : 404,105.67 = 158,694 : x
  2. Step 2: Convert to fraction form
    292,830/404,105.67 = 158,694/x
  3. Step 3: Cross multiply
    292,830x = 404,105.67 × 158,694
  4. Step 4: Simplify right side
    292,830x = 64,129,145,194.98
  5. Step 5: Solve for x
    x = 64,129,145,194.98/292,830
  6. Step 6: Final answer
    x = 218,997.87

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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.