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Finding the Fourth Proportional to 205,894.72, 308,743.44 and 100,590.40

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Solution

The fourth proportional to 205,894.72, 308,743.44 and 100,590.40 is: 150,837.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,894.72 : 308,743.44 = 100,590.40 : x
  2. Step 2: Convert to fraction form
    205,894.72/308,743.44 = 100,590.40/x
  3. Step 3: Cross multiply
    205,894.72x = 308,743.44 × 100,590.40
  4. Step 4: Simplify right side
    205,894.72x = 31,056,626,126.98
  5. Step 5: Solve for x
    x = 31,056,626,126.98/205,894.72
  6. Step 6: Final answer
    x = 150,837.41

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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.