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Finding the Fourth Proportional to 206,115.10, 308,483.74 and 117,344.77

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Solution

The fourth proportional to 206,115.10, 308,483.74 and 117,344.77 is: 175,624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,115.10 : 308,483.74 = 117,344.77 : x
  2. Step 2: Convert to fraction form
    206,115.10/308,483.74 = 117,344.77/x
  3. Step 3: Cross multiply
    206,115.10x = 308,483.74 × 117,344.77
  4. Step 4: Simplify right side
    206,115.10x = 36,198,953,519.04
  5. Step 5: Solve for x
    x = 36,198,953,519.04/206,115.10
  6. Step 6: Final answer
    x = 175,624.95

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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.