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Finding the Fourth Proportional to 149,298.06, 206,031.33 and 82,230.06

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Solution

The fourth proportional to 149,298.06, 206,031.33 and 82,230.06 is: 113,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,298.06 : 206,031.33 = 82,230.06 : x
  2. Step 2: Convert to fraction form
    149,298.06/206,031.33 = 82,230.06/x
  3. Step 3: Cross multiply
    149,298.06x = 206,031.33 × 82,230.06
  4. Step 4: Simplify right side
    149,298.06x = 16,941,969,142.86
  5. Step 5: Solve for x
    x = 16,941,969,142.86/149,298.06
  6. Step 6: Final answer
    x = 113,477.49

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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.