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Finding the Fourth Proportional to 122,120.40, 183,180.60 and 101,125.20

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Solution

The fourth proportional to 122,120.40, 183,180.60 and 101,125.20 is: 151,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,120.40 : 183,180.60 = 101,125.20 : x
  2. Step 2: Convert to fraction form
    122,120.40/183,180.60 = 101,125.20/x
  3. Step 3: Cross multiply
    122,120.40x = 183,180.60 × 101,125.20
  4. Step 4: Simplify right side
    122,120.40x = 18,524,174,811.12
  5. Step 5: Solve for x
    x = 18,524,174,811.12/122,120.40
  6. Step 6: Final answer
    x = 151,687.80

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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.