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Finding the Fourth Proportional to 214,278.44, 321,562.88 and 87,941.48

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Solution

The fourth proportional to 214,278.44, 321,562.88 and 87,941.48 is: 131,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,278.44 : 321,562.88 = 87,941.48 : x
  2. Step 2: Convert to fraction form
    214,278.44/321,562.88 = 87,941.48/x
  3. Step 3: Cross multiply
    214,278.44x = 321,562.88 × 87,941.48
  4. Step 4: Simplify right side
    214,278.44x = 28,278,715,580.26
  5. Step 5: Solve for x
    x = 28,278,715,580.26/214,278.44
  6. Step 6: Final answer
    x = 131,971.82

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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.