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Finding the Fourth Proportional to 142,611.56, 196,650.92 and 120,197.56

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Solution

The fourth proportional to 142,611.56, 196,650.92 and 120,197.56 is: 165,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,611.56 : 196,650.92 = 120,197.56 : x
  2. Step 2: Convert to fraction form
    142,611.56/196,650.92 = 120,197.56/x
  3. Step 3: Cross multiply
    142,611.56x = 196,650.92 × 120,197.56
  4. Step 4: Simplify right side
    142,611.56x = 23,636,960,755.76
  5. Step 5: Solve for x
    x = 23,636,960,755.76/142,611.56
  6. Step 6: Final answer
    x = 165,743.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.