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Finding the Fourth Proportional to 83,855.64, 125,783.46 and 57,480.42

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Solution

The fourth proportional to 83,855.64, 125,783.46 and 57,480.42 is: 86,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,855.64 : 125,783.46 = 57,480.42 : x
  2. Step 2: Convert to fraction form
    83,855.64/125,783.46 = 57,480.42/x
  3. Step 3: Cross multiply
    83,855.64x = 125,783.46 × 57,480.42
  4. Step 4: Simplify right side
    83,855.64x = 7,230,086,109.85
  5. Step 5: Solve for x
    x = 7,230,086,109.85/83,855.64
  6. Step 6: Final answer
    x = 86,220.63

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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.