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Finding the Fourth Proportional to 149,729.76, 206,627.20 and 82,661.76

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Solution

The fourth proportional to 149,729.76, 206,627.20 and 82,661.76 is: 114,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,729.76 : 206,627.20 = 82,661.76 : x
  2. Step 2: Convert to fraction form
    149,729.76/206,627.20 = 82,661.76/x
  3. Step 3: Cross multiply
    149,729.76x = 206,627.20 × 82,661.76
  4. Step 4: Simplify right side
    149,729.76x = 17,080,168,015.87
  5. Step 5: Solve for x
    x = 17,080,168,015.87/149,729.76
  6. Step 6: Final answer
    x = 114,073.30

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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.