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Finding the Fourth Proportional to 214,757.51, 321,645.56 and 102,516.53

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Solution

The fourth proportional to 214,757.51, 321,645.56 and 102,516.53 is: 153,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,757.51 : 321,645.56 = 102,516.53 : x
  2. Step 2: Convert to fraction form
    214,757.51/321,645.56 = 102,516.53/x
  3. Step 3: Cross multiply
    214,757.51x = 321,645.56 × 102,516.53
  4. Step 4: Simplify right side
    214,757.51x = 32,973,984,580.30
  5. Step 5: Solve for x
    x = 32,973,984,580.30/214,757.51
  6. Step 6: Final answer
    x = 153,540.55

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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.