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Finding the Fourth Proportional to 80,384, 120,576 and 31,136

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Solution

The fourth proportional to 80,384, 120,576 and 31,136 is: 46,704

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,384 : 120,576 = 31,136 : x
  2. Step 2: Convert to fraction form
    80,384/120,576 = 31,136/x
  3. Step 3: Cross multiply
    80,384x = 120,576 × 31,136
  4. Step 4: Simplify right side
    80,384x = 3,754,254,336
  5. Step 5: Solve for x
    x = 3,754,254,336/80,384
  6. Step 6: Final answer
    x = 46,704

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