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Finding the Fourth Proportional to 122,165, 183,202.57 and 42,182.70

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Solution

The fourth proportional to 122,165, 183,202.57 and 42,182.70 is: 63,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,165 : 183,202.57 = 42,182.70 : x
  2. Step 2: Convert to fraction form
    122,165/183,202.57 = 42,182.70/x
  3. Step 3: Cross multiply
    122,165x = 183,202.57 × 42,182.70
  4. Step 4: Simplify right side
    122,165x = 7,727,979,049.54
  5. Step 5: Solve for x
    x = 7,727,979,049.54/122,165
  6. Step 6: Final answer
    x = 63,258.54

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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.