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Finding the Fourth Proportional to 214,645.88, 321,965.04 and 74,402.48

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Solution

The fourth proportional to 214,645.88, 321,965.04 and 74,402.48 is: 111,602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,645.88 : 321,965.04 = 74,402.48 : x
  2. Step 2: Convert to fraction form
    214,645.88/321,965.04 = 74,402.48/x
  3. Step 3: Cross multiply
    214,645.88x = 321,965.04 × 74,402.48
  4. Step 4: Simplify right side
    214,645.88x = 23,954,997,449.30
  5. Step 5: Solve for x
    x = 23,954,997,449.30/214,645.88
  6. Step 6: Final answer
    x = 111,602.41

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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.