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Finding the Fourth Proportional to 68,153.91, 102,247.41 and 21,406.78

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Solution

The fourth proportional to 68,153.91, 102,247.41 and 21,406.78 is: 32,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,153.91 : 102,247.41 = 21,406.78 : x
  2. Step 2: Convert to fraction form
    68,153.91/102,247.41 = 21,406.78/x
  3. Step 3: Cross multiply
    68,153.91x = 102,247.41 × 21,406.78
  4. Step 4: Simplify right side
    68,153.91x = 2,188,788,019.52
  5. Step 5: Solve for x
    x = 2,188,788,019.52/68,153.91
  6. Step 6: Final answer
    x = 32,115.37

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1.5x scale

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.