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Finding the Fourth Proportional to 213,169.39, 319,754.09 and 63,411.82

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Solution

The fourth proportional to 213,169.39, 319,754.09 and 63,411.82 is: 95,117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,169.39 : 319,754.09 = 63,411.82 : x
  2. Step 2: Convert to fraction form
    213,169.39/319,754.09 = 63,411.82/x
  3. Step 3: Cross multiply
    213,169.39x = 319,754.09 × 63,411.82
  4. Step 4: Simplify right side
    213,169.39x = 20,276,188,158.49
  5. Step 5: Solve for x
    x = 20,276,188,158.49/213,169.39
  6. Step 6: Final answer
    x = 95,117.73

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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.