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Finding the Fourth Proportional to 57,783.20, 86,653.20 and 40,200.80

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Solution

The fourth proportional to 57,783.20, 86,653.20 and 40,200.80 is: 60,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,783.20 : 86,653.20 = 40,200.80 : x
  2. Step 2: Convert to fraction form
    57,783.20/86,653.20 = 40,200.80/x
  3. Step 3: Cross multiply
    57,783.20x = 86,653.20 × 40,200.80
  4. Step 4: Simplify right side
    57,783.20x = 3,483,527,962.56
  5. Step 5: Solve for x
    x = 3,483,527,962.56/57,783.20
  6. Step 6: Final answer
    x = 60,286.17

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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.