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Finding the Fourth Proportional to 209,481.49, 314,217.98 and 51,711.31

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Solution

The fourth proportional to 209,481.49, 314,217.98 and 51,711.31 is: 77,565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,481.49 : 314,217.98 = 51,711.31 : x
  2. Step 2: Convert to fraction form
    209,481.49/314,217.98 = 51,711.31/x
  3. Step 3: Cross multiply
    209,481.49x = 314,217.98 × 51,711.31
  4. Step 4: Simplify right side
    209,481.49x = 16,248,623,500.63
  5. Step 5: Solve for x
    x = 16,248,623,500.63/209,481.49
  6. Step 6: Final answer
    x = 77,565.92

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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.