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Finding the Fourth Proportional to 214,512.28, 321,770.84 and 64,754

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Solution

The fourth proportional to 214,512.28, 321,770.84 and 64,754 is: 97,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,512.28 : 321,770.84 = 64,754 : x
  2. Step 2: Convert to fraction form
    214,512.28/321,770.84 = 64,754/x
  3. Step 3: Cross multiply
    214,512.28x = 321,770.84 × 64,754
  4. Step 4: Simplify right side
    214,512.28x = 20,835,948,973.36
  5. Step 5: Solve for x
    x = 20,835,948,973.36/214,512.28
  6. Step 6: Final answer
    x = 97,131.73

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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.