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Finding the Fourth Proportional to 20,099.80, 30,149.70 and 12,712.60

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Solution

The fourth proportional to 20,099.80, 30,149.70 and 12,712.60 is: 19,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.80 : 30,149.70 = 12,712.60 : x
  2. Step 2: Convert to fraction form
    20,099.80/30,149.70 = 12,712.60/x
  3. Step 3: Cross multiply
    20,099.80x = 30,149.70 × 12,712.60
  4. Step 4: Simplify right side
    20,099.80x = 383,281,076.22
  5. Step 5: Solve for x
    x = 383,281,076.22/20,099.80
  6. Step 6: Final answer
    x = 19,068.90

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1.5x scale

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.