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Finding the Fourth Proportional to 68,288, 102,447.24 and 20,909.74

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Solution

The fourth proportional to 68,288, 102,447.24 and 20,909.74 is: 31,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,288 : 102,447.24 = 20,909.74 : x
  2. Step 2: Convert to fraction form
    68,288/102,447.24 = 20,909.74/x
  3. Step 3: Cross multiply
    68,288x = 102,447.24 × 20,909.74
  4. Step 4: Simplify right side
    68,288x = 2,142,145,152.12
  5. Step 5: Solve for x
    x = 2,142,145,152.12/68,288
  6. Step 6: Final answer
    x = 31,369.28

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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.