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Finding the Fourth Proportional to 68,223.92, 102,146.94 and 34,872.20

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Solution

The fourth proportional to 68,223.92, 102,146.94 and 34,872.20 is: 52,211.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,223.92 : 102,146.94 = 34,872.20 : x
  2. Step 2: Convert to fraction form
    68,223.92/102,146.94 = 34,872.20/x
  3. Step 3: Cross multiply
    68,223.92x = 102,146.94 × 34,872.20
  4. Step 4: Simplify right side
    68,223.92x = 3,562,088,521.07
  5. Step 5: Solve for x
    x = 3,562,088,521.07/68,223.92
  6. Step 6: Final answer
    x = 52,211.72

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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.