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Finding the Fourth Proportional to 73,809.90, 110,706.21 and 20,505.96

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Solution

The fourth proportional to 73,809.90, 110,706.21 and 20,505.96 is: 30,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,809.90 : 110,706.21 = 20,505.96 : x
  2. Step 2: Convert to fraction form
    73,809.90/110,706.21 = 20,505.96/x
  3. Step 3: Cross multiply
    73,809.90x = 110,706.21 × 20,505.96
  4. Step 4: Simplify right side
    73,809.90x = 2,270,137,114.01
  5. Step 5: Solve for x
    x = 2,270,137,114.01/73,809.90
  6. Step 6: Final answer
    x = 30,756.54

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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.