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Finding the Fourth Proportional to 68,640, 102,872.96 and 29,150.72

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Solution

The fourth proportional to 68,640, 102,872.96 and 29,150.72 is: 43,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,640 : 102,872.96 = 29,150.72 : x
  2. Step 2: Convert to fraction form
    68,640/102,872.96 = 29,150.72/x
  3. Step 3: Cross multiply
    68,640x = 102,872.96 × 29,150.72
  4. Step 4: Simplify right side
    68,640x = 2,998,820,852.53
  5. Step 5: Solve for x
    x = 2,998,820,852.53/68,640
  6. Step 6: Final answer
    x = 43,689.11

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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.