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Finding the Fourth Proportional to 208,636.17, 312,816 and 75,499.11

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Solution

The fourth proportional to 208,636.17, 312,816 and 75,499.11 is: 113,198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,636.17 : 312,816 = 75,499.11 : x
  2. Step 2: Convert to fraction form
    208,636.17/312,816 = 75,499.11/x
  3. Step 3: Cross multiply
    208,636.17x = 312,816 × 75,499.11
  4. Step 4: Simplify right side
    208,636.17x = 23,617,329,593.76
  5. Step 5: Solve for x
    x = 23,617,329,593.76/208,636.17
  6. Step 6: Final answer
    x = 113,198.63

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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.