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Finding the Fourth Proportional to 142,761.78, 214,144.38 and 67,889.16

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Solution

The fourth proportional to 142,761.78, 214,144.38 and 67,889.16 is: 101,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,761.78 : 214,144.38 = 67,889.16 : x
  2. Step 2: Convert to fraction form
    142,761.78/214,144.38 = 67,889.16/x
  3. Step 3: Cross multiply
    142,761.78x = 214,144.38 × 67,889.16
  4. Step 4: Simplify right side
    142,761.78x = 14,538,082,076.92
  5. Step 5: Solve for x
    x = 14,538,082,076.92/142,761.78
  6. Step 6: Final answer
    x = 101,834.55

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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.