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Finding the Fourth Proportional to 206,117.70, 308,996.55 and 79,844.10

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Solution

The fourth proportional to 206,117.70, 308,996.55 and 79,844.10 is: 119,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,117.70 : 308,996.55 = 79,844.10 : x
  2. Step 2: Convert to fraction form
    206,117.70/308,996.55 = 79,844.10/x
  3. Step 3: Cross multiply
    206,117.70x = 308,996.55 × 79,844.10
  4. Step 4: Simplify right side
    206,117.70x = 24,671,551,437.86
  5. Step 5: Solve for x
    x = 24,671,551,437.86/206,117.70
  6. Step 6: Final answer
    x = 119,696.42

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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.