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Finding the Fourth Proportional to 73,211.44, 109,741.74 and 28,820.20

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Solution

The fourth proportional to 73,211.44, 109,741.74 and 28,820.20 is: 43,200.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,211.44 : 109,741.74 = 28,820.20 : x
  2. Step 2: Convert to fraction form
    73,211.44/109,741.74 = 28,820.20/x
  3. Step 3: Cross multiply
    73,211.44x = 109,741.74 × 28,820.20
  4. Step 4: Simplify right side
    73,211.44x = 3,162,778,895.15
  5. Step 5: Solve for x
    x = 3,162,778,895.15/73,211.44
  6. Step 6: Final answer
    x = 43,200.61

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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.