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Finding the Fourth Proportional to 68,374.85, 102,599.09 and 33,314.51

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Solution

The fourth proportional to 68,374.85, 102,599.09 and 33,314.51 is: 49,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,374.85 : 102,599.09 = 33,314.51 : x
  2. Step 2: Convert to fraction form
    68,374.85/102,599.09 = 33,314.51/x
  3. Step 3: Cross multiply
    68,374.85x = 102,599.09 × 33,314.51
  4. Step 4: Simplify right side
    68,374.85x = 3,418,037,730.23
  5. Step 5: Solve for x
    x = 3,418,037,730.23/68,374.85
  6. Step 6: Final answer
    x = 49,989.70

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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.