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Finding the Fourth Proportional to 170,611.34, 255,709.46 and 120,705.82

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Solution

The fourth proportional to 170,611.34, 255,709.46 and 120,705.82 is: 180,911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,611.34 : 255,709.46 = 120,705.82 : x
  2. Step 2: Convert to fraction form
    170,611.34/255,709.46 = 120,705.82/x
  3. Step 3: Cross multiply
    170,611.34x = 255,709.46 × 120,705.82
  4. Step 4: Simplify right side
    170,611.34x = 30,865,619,713.55
  5. Step 5: Solve for x
    x = 30,865,619,713.55/170,611.34
  6. Step 6: Final answer
    x = 180,911.89

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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.