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Finding the Fourth Proportional to 137,920.40, 206,880.60 and 81,933.20

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Solution

The fourth proportional to 137,920.40, 206,880.60 and 81,933.20 is: 122,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,920.40 : 206,880.60 = 81,933.20 : x
  2. Step 2: Convert to fraction form
    137,920.40/206,880.60 = 81,933.20/x
  3. Step 3: Cross multiply
    137,920.40x = 206,880.60 × 81,933.20
  4. Step 4: Simplify right side
    137,920.40x = 16,950,389,575.92
  5. Step 5: Solve for x
    x = 16,950,389,575.92/137,920.40
  6. Step 6: Final answer
    x = 122,899.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.