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Finding the Fourth Proportional to 106,274.40, 146,674.80 and 80,738.88

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Solution

The fourth proportional to 106,274.40, 146,674.80 and 80,738.88 is: 111,431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,274.40 : 146,674.80 = 80,738.88 : x
  2. Step 2: Convert to fraction form
    106,274.40/146,674.80 = 80,738.88/x
  3. Step 3: Cross multiply
    106,274.40x = 146,674.80 × 80,738.88
  4. Step 4: Simplify right side
    106,274.40x = 11,842,359,076.22
  5. Step 5: Solve for x
    x = 11,842,359,076.22/106,274.40
  6. Step 6: Final answer
    x = 111,431.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.