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Finding the Fourth Proportional to 109,942, 164,901.12 and 74,629.60

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Solution

The fourth proportional to 109,942, 164,901.12 and 74,629.60 is: 111,936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,942 : 164,901.12 = 74,629.60 : x
  2. Step 2: Convert to fraction form
    109,942/164,901.12 = 74,629.60/x
  3. Step 3: Cross multiply
    109,942x = 164,901.12 × 74,629.60
  4. Step 4: Simplify right side
    109,942x = 12,306,504,625.15
  5. Step 5: Solve for x
    x = 12,306,504,625.15/109,942
  6. Step 6: Final answer
    x = 111,936.34

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1.5x scale

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.