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Finding the Fourth Proportional to 142,659.96, 213,863.04 and 67,733.88

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Solution

The fourth proportional to 142,659.96, 213,863.04 and 67,733.88 is: 101,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,659.96 : 213,863.04 = 67,733.88 : x
  2. Step 2: Convert to fraction form
    142,659.96/213,863.04 = 67,733.88/x
  3. Step 3: Cross multiply
    142,659.96x = 213,863.04 × 67,733.88
  4. Step 4: Simplify right side
    142,659.96x = 14,485,773,487.80
  5. Step 5: Solve for x
    x = 14,485,773,487.80/142,659.96
  6. Step 6: Final answer
    x = 101,540.57

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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.