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Finding the Fourth Proportional to 205,817.80, 308,726.70 and 81,142.60

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Solution

The fourth proportional to 205,817.80, 308,726.70 and 81,142.60 is: 121,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,817.80 : 308,726.70 = 81,142.60 : x
  2. Step 2: Convert to fraction form
    205,817.80/308,726.70 = 81,142.60/x
  3. Step 3: Cross multiply
    205,817.80x = 308,726.70 × 81,142.60
  4. Step 4: Simplify right side
    205,817.80x = 25,050,887,127.42
  5. Step 5: Solve for x
    x = 25,050,887,127.42/205,817.80
  6. Step 6: Final answer
    x = 121,713.90

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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.