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Finding the Fourth Proportional to 82,395, 123,519.20 and 29,792.79

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Solution

The fourth proportional to 82,395, 123,519.20 and 29,792.79 is: 44,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,395 : 123,519.20 = 29,792.79 : x
  2. Step 2: Convert to fraction form
    82,395/123,519.20 = 29,792.79/x
  3. Step 3: Cross multiply
    82,395x = 123,519.20 × 29,792.79
  4. Step 4: Simplify right side
    82,395x = 3,679,981,437.60
  5. Step 5: Solve for x
    x = 3,679,981,437.60/82,395
  6. Step 6: Final answer
    x = 44,662.68

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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.