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Finding the Fourth Proportional to 214,103.56, 321,200.43 and 80,980.90

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Solution

The fourth proportional to 214,103.56, 321,200.43 and 80,980.90 is: 121,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,103.56 : 321,200.43 = 80,980.90 : x
  2. Step 2: Convert to fraction form
    214,103.56/321,200.43 = 80,980.90/x
  3. Step 3: Cross multiply
    214,103.56x = 321,200.43 × 80,980.90
  4. Step 4: Simplify right side
    214,103.56x = 26,011,099,901.79
  5. Step 5: Solve for x
    x = 26,011,099,901.79/214,103.56
  6. Step 6: Final answer
    x = 121,488.40

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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.