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Finding the Fourth Proportional to 228,014.85, 342,071.22 and 68,103.42

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Solution

The fourth proportional to 228,014.85, 342,071.22 and 68,103.42 is: 102,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,014.85 : 342,071.22 = 68,103.42 : x
  2. Step 2: Convert to fraction form
    228,014.85/342,071.22 = 68,103.42/x
  3. Step 3: Cross multiply
    228,014.85x = 342,071.22 × 68,103.42
  4. Step 4: Simplify right side
    228,014.85x = 23,296,219,965.57
  5. Step 5: Solve for x
    x = 23,296,219,965.57/228,014.85
  6. Step 6: Final answer
    x = 102,169.75

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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.