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Finding the Fourth Proportional to 71,783.36, 107,724.72 and 41,847.20

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Solution

The fourth proportional to 71,783.36, 107,724.72 and 41,847.20 is: 62,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,783.36 : 107,724.72 = 41,847.20 : x
  2. Step 2: Convert to fraction form
    71,783.36/107,724.72 = 41,847.20/x
  3. Step 3: Cross multiply
    71,783.36x = 107,724.72 × 41,847.20
  4. Step 4: Simplify right side
    71,783.36x = 4,507,977,902.78
  5. Step 5: Solve for x
    x = 4,507,977,902.78/71,783.36
  6. Step 6: Final answer
    x = 62,799.76

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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.