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Finding the Fourth Proportional to 226,671.84, 340,003.92 and 78,924

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Solution

The fourth proportional to 226,671.84, 340,003.92 and 78,924 is: 118,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,671.84 : 340,003.92 = 78,924 : x
  2. Step 2: Convert to fraction form
    226,671.84/340,003.92 = 78,924/x
  3. Step 3: Cross multiply
    226,671.84x = 340,003.92 × 78,924
  4. Step 4: Simplify right side
    226,671.84x = 26,834,469,382.08
  5. Step 5: Solve for x
    x = 26,834,469,382.08/226,671.84
  6. Step 6: Final answer
    x = 118,384.66

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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.