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Finding the Fourth Proportional to 142,531.56, 213,859.50 and 67,704.57

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Solution

The fourth proportional to 142,531.56, 213,859.50 and 67,704.57 is: 101,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,531.56 : 213,859.50 = 67,704.57 : x
  2. Step 2: Convert to fraction form
    142,531.56/213,859.50 = 67,704.57/x
  3. Step 3: Cross multiply
    142,531.56x = 213,859.50 × 67,704.57
  4. Step 4: Simplify right side
    142,531.56x = 14,479,265,487.92
  5. Step 5: Solve for x
    x = 14,479,265,487.92/142,531.56
  6. Step 6: Final answer
    x = 101,586.38

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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.