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Finding the Fourth Proportional to 73,914.80, 102,002.42 and 40,380.80

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Solution

The fourth proportional to 73,914.80, 102,002.42 and 40,380.80 is: 55,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,914.80 : 102,002.42 = 40,380.80 : x
  2. Step 2: Convert to fraction form
    73,914.80/102,002.42 = 40,380.80/x
  3. Step 3: Cross multiply
    73,914.80x = 102,002.42 × 40,380.80
  4. Step 4: Simplify right side
    73,914.80x = 4,118,938,912.48
  5. Step 5: Solve for x
    x = 4,118,938,912.48/73,914.80
  6. Step 6: Final answer
    x = 55,725.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.