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Finding the Fourth Proportional to 205,592.60, 308,142.12 and 105,799.88

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Solution

The fourth proportional to 205,592.60, 308,142.12 and 105,799.88 is: 158,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,592.60 : 308,142.12 = 105,799.88 : x
  2. Step 2: Convert to fraction form
    205,592.60/308,142.12 = 105,799.88/x
  3. Step 3: Cross multiply
    205,592.60x = 308,142.12 × 105,799.88
  4. Step 4: Simplify right side
    205,592.60x = 32,601,399,318.95
  5. Step 5: Solve for x
    x = 32,601,399,318.95/205,592.60
  6. Step 6: Final answer
    x = 158,572.82

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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.