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Finding the Fourth Proportional to 122,611.92, 183,912.78 and 42,668.20

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Solution

The fourth proportional to 122,611.92, 183,912.78 and 42,668.20 is: 64,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,611.92 : 183,912.78 = 42,668.20 : x
  2. Step 2: Convert to fraction form
    122,611.92/183,912.78 = 42,668.20/x
  3. Step 3: Cross multiply
    122,611.92x = 183,912.78 × 42,668.20
  4. Step 4: Simplify right side
    122,611.92x = 7,847,227,279.60
  5. Step 5: Solve for x
    x = 7,847,227,279.60/122,611.92
  6. Step 6: Final answer
    x = 64,000.53

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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.