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Finding the Fourth Proportional to 80,292.80, 120,343.52 and 32,905.98

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Solution

The fourth proportional to 80,292.80, 120,343.52 and 32,905.98 is: 49,319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,292.80 : 120,343.52 = 32,905.98 : x
  2. Step 2: Convert to fraction form
    80,292.80/120,343.52 = 32,905.98/x
  3. Step 3: Cross multiply
    80,292.80x = 120,343.52 × 32,905.98
  4. Step 4: Simplify right side
    80,292.80x = 3,960,021,544.51
  5. Step 5: Solve for x
    x = 3,960,021,544.51/80,292.80
  6. Step 6: Final answer
    x = 49,319.76

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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.