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Finding the Fourth Proportional to 20,505,978.20, 30,734,084.10 and 9,134,355.80

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Solution

The fourth proportional to 20,505,978.20, 30,734,084.10 and 9,134,355.80 is: 13,690,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505,978.20 : 30,734,084.10 = 9,134,355.80 : x
  2. Step 2: Convert to fraction form
    20,505,978.20/30,734,084.10 = 9,134,355.80/x
  3. Step 3: Cross multiply
    20,505,978.20x = 30,734,084.10 × 9,134,355.80
  4. Step 4: Simplify right side
    20,505,978.20x = 280,736,059,356,522.81
  5. Step 5: Solve for x
    x = 280,736,059,356,522.81/20,505,978.20
  6. Step 6: Final answer
    x = 13,690,449.52

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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.