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Finding the Fourth Proportional to 122,100.30, 183,150.45 and 80,109.90

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Solution

The fourth proportional to 122,100.30, 183,150.45 and 80,109.90 is: 120,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,100.30 : 183,150.45 = 80,109.90 : x
  2. Step 2: Convert to fraction form
    122,100.30/183,150.45 = 80,109.90/x
  3. Step 3: Cross multiply
    122,100.30x = 183,150.45 × 80,109.90
  4. Step 4: Simplify right side
    122,100.30x = 14,672,164,234.46
  5. Step 5: Solve for x
    x = 14,672,164,234.46/122,100.30
  6. Step 6: Final answer
    x = 120,164.85

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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.