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Finding the Fourth Proportional to 133,000.40, 199,401.40 and 80,398.80

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Solution

The fourth proportional to 133,000.40, 199,401.40 and 80,398.80 is: 120,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,000.40 : 199,401.40 = 80,398.80 : x
  2. Step 2: Convert to fraction form
    133,000.40/199,401.40 = 80,398.80/x
  3. Step 3: Cross multiply
    133,000.40x = 199,401.40 × 80,398.80
  4. Step 4: Simplify right side
    133,000.40x = 16,031,633,278.32
  5. Step 5: Solve for x
    x = 16,031,633,278.32/133,000.40
  6. Step 6: Final answer
    x = 120,538.23

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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.