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Finding the Fourth Proportional to 56,724, 84,937.36 and 39,993.48

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Solution

The fourth proportional to 56,724, 84,937.36 and 39,993.48 is: 59,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,724 : 84,937.36 = 39,993.48 : x
  2. Step 2: Convert to fraction form
    56,724/84,937.36 = 39,993.48/x
  3. Step 3: Cross multiply
    56,724x = 84,937.36 × 39,993.48
  4. Step 4: Simplify right side
    56,724x = 3,396,940,608.41
  5. Step 5: Solve for x
    x = 3,396,940,608.41/56,724
  6. Step 6: Final answer
    x = 59,885.42

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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.