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Finding the Fourth Proportional to 214,308.96, 321,282 and 131,028

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Solution

The fourth proportional to 214,308.96, 321,282 and 131,028 is: 196,431.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,308.96 : 321,282 = 131,028 : x
  2. Step 2: Convert to fraction form
    214,308.96/321,282 = 131,028/x
  3. Step 3: Cross multiply
    214,308.96x = 321,282 × 131,028
  4. Step 4: Simplify right side
    214,308.96x = 42,096,937,896
  5. Step 5: Solve for x
    x = 42,096,937,896/214,308.96
  6. Step 6: Final answer
    x = 196,431.07

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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.