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Finding the Fourth Proportional to 205,342, 308,135.88 and 88,606

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Solution

The fourth proportional to 205,342, 308,135.88 and 88,606 is: 132,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,342 : 308,135.88 = 88,606 : x
  2. Step 2: Convert to fraction form
    205,342/308,135.88 = 88,606/x
  3. Step 3: Cross multiply
    205,342x = 308,135.88 × 88,606
  4. Step 4: Simplify right side
    205,342x = 27,302,687,783.28
  5. Step 5: Solve for x
    x = 27,302,687,783.28/205,342
  6. Step 6: Final answer
    x = 132,962.02

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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.