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Finding the Fourth Proportional to 149,448.50, 206,234.80 and 81,466.80

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Solution

The fourth proportional to 149,448.50, 206,234.80 and 81,466.80 is: 112,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,448.50 : 206,234.80 = 81,466.80 : x
  2. Step 2: Convert to fraction form
    149,448.50/206,234.80 = 81,466.80/x
  3. Step 3: Cross multiply
    149,448.50x = 206,234.80 × 81,466.80
  4. Step 4: Simplify right side
    149,448.50x = 16,801,288,227.59
  5. Step 5: Solve for x
    x = 16,801,288,227.59/149,448.50
  6. Step 6: Final answer
    x = 112,421.93

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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.