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Finding the Fourth Proportional to 149,403.96, 206,177.46 and 81,420.96

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Solution

The fourth proportional to 149,403.96, 206,177.46 and 81,420.96 is: 112,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,403.96 : 206,177.46 = 81,420.96 : x
  2. Step 2: Convert to fraction form
    149,403.96/206,177.46 = 81,420.96/x
  3. Step 3: Cross multiply
    149,403.96x = 206,177.46 × 81,420.96
  4. Step 4: Simplify right side
    149,403.96x = 16,787,166,723.56
  5. Step 5: Solve for x
    x = 16,787,166,723.56/149,403.96
  6. Step 6: Final answer
    x = 112,360.92

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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.