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Finding the Fourth Proportional to 83,903.20, 125,811.60 and 31,285.60

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Solution

The fourth proportional to 83,903.20, 125,811.60 and 31,285.60 is: 46,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,903.20 : 125,811.60 = 31,285.60 : x
  2. Step 2: Convert to fraction form
    83,903.20/125,811.60 = 31,285.60/x
  3. Step 3: Cross multiply
    83,903.20x = 125,811.60 × 31,285.60
  4. Step 4: Simplify right side
    83,903.20x = 3,936,091,392.96
  5. Step 5: Solve for x
    x = 3,936,091,392.96/83,903.20
  6. Step 6: Final answer
    x = 46,912.29

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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.