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Finding the Fourth Proportional to 80,644.80, 120,967.20 and 61,982.40

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Solution

The fourth proportional to 80,644.80, 120,967.20 and 61,982.40 is: 92,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,644.80 : 120,967.20 = 61,982.40 : x
  2. Step 2: Convert to fraction form
    80,644.80/120,967.20 = 61,982.40/x
  3. Step 3: Cross multiply
    80,644.80x = 120,967.20 × 61,982.40
  4. Step 4: Simplify right side
    80,644.80x = 7,497,837,377.28
  5. Step 5: Solve for x
    x = 7,497,837,377.28/80,644.80
  6. Step 6: Final answer
    x = 92,973.60

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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.