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Finding the Fourth Proportional to 68,157.75, 102,240.69 and 21,410.62

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Solution

The fourth proportional to 68,157.75, 102,240.69 and 21,410.62 is: 32,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,157.75 : 102,240.69 = 21,410.62 : x
  2. Step 2: Convert to fraction form
    68,157.75/102,240.69 = 21,410.62/x
  3. Step 3: Cross multiply
    68,157.75x = 102,240.69 × 21,410.62
  4. Step 4: Simplify right side
    68,157.75x = 2,189,036,562.13
  5. Step 5: Solve for x
    x = 2,189,036,562.13/68,157.75
  6. Step 6: Final answer
    x = 32,117.21

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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.