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Finding the Fourth Proportional to 341,969.80, 512,906.10 and 105,336.40

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Solution

The fourth proportional to 341,969.80, 512,906.10 and 105,336.40 is: 157,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,969.80 : 512,906.10 = 105,336.40 : x
  2. Step 2: Convert to fraction form
    341,969.80/512,906.10 = 105,336.40/x
  3. Step 3: Cross multiply
    341,969.80x = 512,906.10 × 105,336.40
  4. Step 4: Simplify right side
    341,969.80x = 54,027,682,112.04
  5. Step 5: Solve for x
    x = 54,027,682,112.04/341,969.80
  6. Step 6: Final answer
    x = 157,989.63

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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.