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Finding the Fourth Proportional to 209,481.62, 314,218.17 and 51,711.44

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Solution

The fourth proportional to 209,481.62, 314,218.17 and 51,711.44 is: 77,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,481.62 : 314,218.17 = 51,711.44 : x
  2. Step 2: Convert to fraction form
    209,481.62/314,218.17 = 51,711.44/x
  3. Step 3: Cross multiply
    209,481.62x = 314,218.17 × 51,711.44
  4. Step 4: Simplify right side
    209,481.62x = 16,248,674,044.86
  5. Step 5: Solve for x
    x = 16,248,674,044.86/209,481.62
  6. Step 6: Final answer
    x = 77,566.11

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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.