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Finding the Fourth Proportional to 68,165.74, 102,269.49 and 34,909.12

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Solution

The fourth proportional to 68,165.74, 102,269.49 and 34,909.12 is: 52,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,165.74 : 102,269.49 = 34,909.12 : x
  2. Step 2: Convert to fraction form
    68,165.74/102,269.49 = 34,909.12/x
  3. Step 3: Cross multiply
    68,165.74x = 102,269.49 × 34,909.12
  4. Step 4: Simplify right side
    68,165.74x = 3,570,137,898.75
  5. Step 5: Solve for x
    x = 3,570,137,898.75/68,165.74
  6. Step 6: Final answer
    x = 52,374.37

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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.