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Finding the Fourth Proportional to 219,136, 328,729.92 and 71,392

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Solution

The fourth proportional to 219,136, 328,729.92 and 71,392 is: 107,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,136 : 328,729.92 = 71,392 : x
  2. Step 2: Convert to fraction form
    219,136/328,729.92 = 71,392/x
  3. Step 3: Cross multiply
    219,136x = 328,729.92 × 71,392
  4. Step 4: Simplify right side
    219,136x = 23,468,686,448.64
  5. Step 5: Solve for x
    x = 23,468,686,448.64/219,136
  6. Step 6: Final answer
    x = 107,096.44

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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.