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Finding the Fourth Proportional to 32,139.92, 48,203.40 and 8,764.40

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Solution

The fourth proportional to 32,139.92, 48,203.40 and 8,764.40 is: 13,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,139.92 : 48,203.40 = 8,764.40 : x
  2. Step 2: Convert to fraction form
    32,139.92/48,203.40 = 8,764.40/x
  3. Step 3: Cross multiply
    32,139.92x = 48,203.40 × 8,764.40
  4. Step 4: Simplify right side
    32,139.92x = 422,473,878.96
  5. Step 5: Solve for x
    x = 422,473,878.96/32,139.92
  6. Step 6: Final answer
    x = 13,144.83

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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.