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Finding the Fourth Proportional to 149,406.40, 206,174.81 and 81,421.92

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Solution

The fourth proportional to 149,406.40, 206,174.81 and 81,421.92 is: 112,358.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,406.40 : 206,174.81 = 81,421.92 : x
  2. Step 2: Convert to fraction form
    149,406.40/206,174.81 = 81,421.92/x
  3. Step 3: Cross multiply
    149,406.40x = 206,174.81 × 81,421.92
  4. Step 4: Simplify right side
    149,406.40x = 16,787,147,447.85
  5. Step 5: Solve for x
    x = 16,787,147,447.85/149,406.40
  6. Step 6: Final answer
    x = 112,358.96

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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.