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Finding the Fourth Proportional to 204,504.94, 306,897.54 and 71,385.21

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Solution

The fourth proportional to 204,504.94, 306,897.54 and 71,385.21 is: 107,126.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,504.94 : 306,897.54 = 71,385.21 : x
  2. Step 2: Convert to fraction form
    204,504.94/306,897.54 = 71,385.21/x
  3. Step 3: Cross multiply
    204,504.94x = 306,897.54 × 71,385.21
  4. Step 4: Simplify right side
    204,504.94x = 21,907,945,341.38
  5. Step 5: Solve for x
    x = 21,907,945,341.38/204,504.94
  6. Step 6: Final answer
    x = 107,126.73

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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.