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Finding the Fourth Proportional to 57,738.32, 86,805.12 and 53,409.68

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Solution

The fourth proportional to 57,738.32, 86,805.12 and 53,409.68 is: 80,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,738.32 : 86,805.12 = 53,409.68 : x
  2. Step 2: Convert to fraction form
    57,738.32/86,805.12 = 53,409.68/x
  3. Step 3: Cross multiply
    57,738.32x = 86,805.12 × 53,409.68
  4. Step 4: Simplify right side
    57,738.32x = 4,636,233,681.56
  5. Step 5: Solve for x
    x = 4,636,233,681.56/57,738.32
  6. Step 6: Final answer
    x = 80,297.34

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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.