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Finding the Fourth Proportional to 68,388.96, 102,595.92 and 31,452

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Solution

The fourth proportional to 68,388.96, 102,595.92 and 31,452 is: 47,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,388.96 : 102,595.92 = 31,452 : x
  2. Step 2: Convert to fraction form
    68,388.96/102,595.92 = 31,452/x
  3. Step 3: Cross multiply
    68,388.96x = 102,595.92 × 31,452
  4. Step 4: Simplify right side
    68,388.96x = 3,226,846,875.84
  5. Step 5: Solve for x
    x = 3,226,846,875.84/68,388.96
  6. Step 6: Final answer
    x = 47,183.74

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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.