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Finding the Fourth Proportional to 68,552.80, 102,816.24 and 29,111.20

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Solution

The fourth proportional to 68,552.80, 102,816.24 and 29,111.20 is: 43,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,552.80 : 102,816.24 = 29,111.20 : x
  2. Step 2: Convert to fraction form
    68,552.80/102,816.24 = 29,111.20/x
  3. Step 3: Cross multiply
    68,552.80x = 102,816.24 × 29,111.20
  4. Step 4: Simplify right side
    68,552.80x = 2,993,104,125.89
  5. Step 5: Solve for x
    x = 2,993,104,125.89/68,552.80
  6. Step 6: Final answer
    x = 43,661.30

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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.