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Finding the Fourth Proportional to 214,616.70, 321,797.05 and 131,570.30

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Solution

The fourth proportional to 214,616.70, 321,797.05 and 131,570.30 is: 197,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,616.70 : 321,797.05 = 131,570.30 : x
  2. Step 2: Convert to fraction form
    214,616.70/321,797.05 = 131,570.30/x
  3. Step 3: Cross multiply
    214,616.70x = 321,797.05 × 131,570.30
  4. Step 4: Simplify right side
    214,616.70x = 42,338,934,407.62
  5. Step 5: Solve for x
    x = 42,338,934,407.62/214,616.70
  6. Step 6: Final answer
    x = 197,276.98

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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.