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Finding the Fourth Proportional to 73,198.60, 109,802.70 and 20,609.80

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Solution

The fourth proportional to 73,198.60, 109,802.70 and 20,609.80 is: 30,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,198.60 : 109,802.70 = 20,609.80 : x
  2. Step 2: Convert to fraction form
    73,198.60/109,802.70 = 20,609.80/x
  3. Step 3: Cross multiply
    73,198.60x = 109,802.70 × 20,609.80
  4. Step 4: Simplify right side
    73,198.60x = 2,263,011,686.46
  5. Step 5: Solve for x
    x = 2,263,011,686.46/73,198.60
  6. Step 6: Final answer
    x = 30,916.05

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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.