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Finding the Fourth Proportional to 228,387.72, 342,589.06 and 78,626.42

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Solution

The fourth proportional to 228,387.72, 342,589.06 and 78,626.42 is: 117,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,387.72 : 342,589.06 = 78,626.42 : x
  2. Step 2: Convert to fraction form
    228,387.72/342,589.06 = 78,626.42/x
  3. Step 3: Cross multiply
    228,387.72x = 342,589.06 × 78,626.42
  4. Step 4: Simplify right side
    228,387.72x = 26,936,551,318.97
  5. Step 5: Solve for x
    x = 26,936,551,318.97/228,387.72
  6. Step 6: Final answer
    x = 117,942.21

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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.