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Finding the Fourth Proportional to 52,161.76, 78,245.52 and 20,992.96

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Solution

The fourth proportional to 52,161.76, 78,245.52 and 20,992.96 is: 31,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,161.76 : 78,245.52 = 20,992.96 : x
  2. Step 2: Convert to fraction form
    52,161.76/78,245.52 = 20,992.96/x
  3. Step 3: Cross multiply
    52,161.76x = 78,245.52 × 20,992.96
  4. Step 4: Simplify right side
    52,161.76x = 1,642,605,071.54
  5. Step 5: Solve for x
    x = 1,642,605,071.54/52,161.76
  6. Step 6: Final answer
    x = 31,490.60

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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.