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Finding the Fourth Proportional to 205,902.06, 308,815.03 and 63,720.82

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Solution

The fourth proportional to 205,902.06, 308,815.03 and 63,720.82 is: 95,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,902.06 : 308,815.03 = 63,720.82 : x
  2. Step 2: Convert to fraction form
    205,902.06/308,815.03 = 63,720.82/x
  3. Step 3: Cross multiply
    205,902.06x = 308,815.03 × 63,720.82
  4. Step 4: Simplify right side
    205,902.06x = 19,677,946,939.92
  5. Step 5: Solve for x
    x = 19,677,946,939.92/205,902.06
  6. Step 6: Final answer
    x = 95,569.45

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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.