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Finding the Fourth Proportional to 55,847.84, 83,713.20 and 20,765.60

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Solution

The fourth proportional to 55,847.84, 83,713.20 and 20,765.60 is: 31,126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,847.84 : 83,713.20 = 20,765.60 : x
  2. Step 2: Convert to fraction form
    55,847.84/83,713.20 = 20,765.60/x
  3. Step 3: Cross multiply
    55,847.84x = 83,713.20 × 20,765.60
  4. Step 4: Simplify right side
    55,847.84x = 1,738,354,825.92
  5. Step 5: Solve for x
    x = 1,738,354,825.92/55,847.84
  6. Step 6: Final answer
    x = 31,126.63

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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.