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Finding the Fourth Proportional to 129,894.20, 194,744.10 and 70,796.60

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Solution

The fourth proportional to 129,894.20, 194,744.10 and 70,796.60 is: 106,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,894.20 : 194,744.10 = 70,796.60 : x
  2. Step 2: Convert to fraction form
    129,894.20/194,744.10 = 70,796.60/x
  3. Step 3: Cross multiply
    129,894.20x = 194,744.10 × 70,796.60
  4. Step 4: Simplify right side
    129,894.20x = 13,787,220,150.06
  5. Step 5: Solve for x
    x = 13,787,220,150.06/129,894.20
  6. Step 6: Final answer
    x = 106,141.92

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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.