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Finding the Fourth Proportional to 56,382.80, 84,401.40 and 32,939.60

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Solution

The fourth proportional to 56,382.80, 84,401.40 and 32,939.60 is: 49,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,382.80 : 84,401.40 = 32,939.60 : x
  2. Step 2: Convert to fraction form
    56,382.80/84,401.40 = 32,939.60/x
  3. Step 3: Cross multiply
    56,382.80x = 84,401.40 × 32,939.60
  4. Step 4: Simplify right side
    56,382.80x = 2,780,148,355.44
  5. Step 5: Solve for x
    x = 2,780,148,355.44/56,382.80
  6. Step 6: Final answer
    x = 49,308.45

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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.