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Finding the Fourth Proportional to 205,338, 308,129.88 and 88,602

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Solution

The fourth proportional to 205,338, 308,129.88 and 88,602 is: 132,956.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,338 : 308,129.88 = 88,602 : x
  2. Step 2: Convert to fraction form
    205,338/308,129.88 = 88,602/x
  3. Step 3: Cross multiply
    205,338x = 308,129.88 × 88,602
  4. Step 4: Simplify right side
    205,338x = 27,300,923,627.76
  5. Step 5: Solve for x
    x = 27,300,923,627.76/205,338
  6. Step 6: Final answer
    x = 132,956.02

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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.