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Finding the Fourth Proportional to 80,605.40, 120,821.70 and 30,666.20

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Solution

The fourth proportional to 80,605.40, 120,821.70 and 30,666.20 is: 45,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,605.40 : 120,821.70 = 30,666.20 : x
  2. Step 2: Convert to fraction form
    80,605.40/120,821.70 = 30,666.20/x
  3. Step 3: Cross multiply
    80,605.40x = 120,821.70 × 30,666.20
  4. Step 4: Simplify right side
    80,605.40x = 3,705,142,416.54
  5. Step 5: Solve for x
    x = 3,705,142,416.54/80,605.40
  6. Step 6: Final answer
    x = 45,966.43

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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.