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Finding the Fourth Proportional to 228,396.11, 342,616.97 and 78,616.58

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Solution

The fourth proportional to 228,396.11, 342,616.97 and 78,616.58 is: 117,932.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,396.11 : 342,616.97 = 78,616.58 : x
  2. Step 2: Convert to fraction form
    228,396.11/342,616.97 = 78,616.58/x
  3. Step 3: Cross multiply
    228,396.11x = 342,616.97 × 78,616.58
  4. Step 4: Simplify right side
    228,396.11x = 26,935,372,914.82
  5. Step 5: Solve for x
    x = 26,935,372,914.82/228,396.11
  6. Step 6: Final answer
    x = 117,932.72

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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.