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Finding the Fourth Proportional to 149,323.68, 206,066.70 and 82,255.68

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Solution

The fourth proportional to 149,323.68, 206,066.70 and 82,255.68 is: 113,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,323.68 : 206,066.70 = 82,255.68 : x
  2. Step 2: Convert to fraction form
    149,323.68/206,066.70 = 82,255.68/x
  3. Step 3: Cross multiply
    149,323.68x = 206,066.70 × 82,255.68
  4. Step 4: Simplify right side
    149,323.68x = 16,950,156,533.86
  5. Step 5: Solve for x
    x = 16,950,156,533.86/149,323.68
  6. Step 6: Final answer
    x = 113,512.85

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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.