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Finding the Fourth Proportional to 68,384.48, 102,306.92 and 51,792.48

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Solution

The fourth proportional to 68,384.48, 102,306.92 and 51,792.48 is: 77,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,384.48 : 102,306.92 = 51,792.48 : x
  2. Step 2: Convert to fraction form
    68,384.48/102,306.92 = 51,792.48/x
  3. Step 3: Cross multiply
    68,384.48x = 102,306.92 × 51,792.48
  4. Step 4: Simplify right side
    68,384.48x = 5,298,729,107.96
  5. Step 5: Solve for x
    x = 5,298,729,107.96/68,384.48
  6. Step 6: Final answer
    x = 77,484.38

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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.