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Finding the Fourth Proportional to 56,579.40, 84,796.20 and 40,978.80

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Solution

The fourth proportional to 56,579.40, 84,796.20 and 40,978.80 is: 61,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,579.40 : 84,796.20 = 40,978.80 : x
  2. Step 2: Convert to fraction form
    56,579.40/84,796.20 = 40,978.80/x
  3. Step 3: Cross multiply
    56,579.40x = 84,796.20 × 40,978.80
  4. Step 4: Simplify right side
    56,579.40x = 3,474,846,520.56
  5. Step 5: Solve for x
    x = 3,474,846,520.56/56,579.40
  6. Step 6: Final answer
    x = 61,415.40

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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.