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Finding the Fourth Proportional to 149,298.32, 206,031.68 and 82,230.32

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Solution

The fourth proportional to 149,298.32, 206,031.68 and 82,230.32 is: 113,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,298.32 : 206,031.68 = 82,230.32 : x
  2. Step 2: Convert to fraction form
    149,298.32/206,031.68 = 82,230.32/x
  3. Step 3: Cross multiply
    149,298.32x = 206,031.68 × 82,230.32
  4. Step 4: Simplify right side
    149,298.32x = 16,942,049,535.23
  5. Step 5: Solve for x
    x = 16,942,049,535.23/149,298.32
  6. Step 6: Final answer
    x = 113,477.83

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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.