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Finding the Fourth Proportional to 142,893.64, 214,311.30 and 54,116.56

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Solution

The fourth proportional to 142,893.64, 214,311.30 and 54,116.56 is: 81,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,893.64 : 214,311.30 = 54,116.56 : x
  2. Step 2: Convert to fraction form
    142,893.64/214,311.30 = 54,116.56/x
  3. Step 3: Cross multiply
    142,893.64x = 214,311.30 × 54,116.56
  4. Step 4: Simplify right side
    142,893.64x = 11,597,790,325.13
  5. Step 5: Solve for x
    x = 11,597,790,325.13/142,893.64
  6. Step 6: Final answer
    x = 81,163.80

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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.