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Finding the Fourth Proportional to 205,609.98, 308,415.89 and 72,418.04

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Solution

The fourth proportional to 205,609.98, 308,415.89 and 72,418.04 is: 108,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,609.98 : 308,415.89 = 72,418.04 : x
  2. Step 2: Convert to fraction form
    205,609.98/308,415.89 = 72,418.04/x
  3. Step 3: Cross multiply
    205,609.98x = 308,415.89 × 72,418.04
  4. Step 4: Simplify right side
    205,609.98x = 22,334,874,258.66
  5. Step 5: Solve for x
    x = 22,334,874,258.66/205,609.98
  6. Step 6: Final answer
    x = 108,627.38

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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.