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Finding the Fourth Proportional to 73,074.61, 109,615.86 and 20,488.20

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Solution

The fourth proportional to 73,074.61, 109,615.86 and 20,488.20 is: 30,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,074.61 : 109,615.86 = 20,488.20 : x
  2. Step 2: Convert to fraction form
    73,074.61/109,615.86 = 20,488.20/x
  3. Step 3: Cross multiply
    73,074.61x = 109,615.86 × 20,488.20
  4. Step 4: Simplify right side
    73,074.61x = 2,245,831,662.85
  5. Step 5: Solve for x
    x = 2,245,831,662.85/73,074.61
  6. Step 6: Final answer
    x = 30,733.41

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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.