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Finding the Fourth Proportional to 228,120.54, 342,229.74 and 68,209.02

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Solution

The fourth proportional to 228,120.54, 342,229.74 and 68,209.02 is: 102,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,120.54 : 342,229.74 = 68,209.02 : x
  2. Step 2: Convert to fraction form
    228,120.54/342,229.74 = 68,209.02/x
  3. Step 3: Cross multiply
    228,120.54x = 342,229.74 × 68,209.02
  4. Step 4: Simplify right side
    228,120.54x = 23,343,155,180.25
  5. Step 5: Solve for x
    x = 23,343,155,180.25/228,120.54
  6. Step 6: Final answer
    x = 102,328.16

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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.