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Finding the Fourth Proportional to 214,300.96, 321,269.92 and 131,020

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Solution

The fourth proportional to 214,300.96, 321,269.92 and 131,020 is: 196,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,300.96 : 321,269.92 = 131,020 : x
  2. Step 2: Convert to fraction form
    214,300.96/321,269.92 = 131,020/x
  3. Step 3: Cross multiply
    214,300.96x = 321,269.92 × 131,020
  4. Step 4: Simplify right side
    214,300.96x = 42,092,784,918.40
  5. Step 5: Solve for x
    x = 42,092,784,918.40/214,300.96
  6. Step 6: Final answer
    x = 196,419.02

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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.