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Finding the Fourth Proportional to 205,821.82, 308,609.70 and 79,357.17

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Solution

The fourth proportional to 205,821.82, 308,609.70 and 79,357.17 is: 118,988.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,821.82 : 308,609.70 = 79,357.17 : x
  2. Step 2: Convert to fraction form
    205,821.82/308,609.70 = 79,357.17/x
  3. Step 3: Cross multiply
    205,821.82x = 308,609.70 × 79,357.17
  4. Step 4: Simplify right side
    205,821.82x = 24,490,392,426.55
  5. Step 5: Solve for x
    x = 24,490,392,426.55/205,821.82
  6. Step 6: Final answer
    x = 118,988.32

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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.