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Finding the Fourth Proportional to 57,411.20, 86,019.60 and 37,679.60

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Solution

The fourth proportional to 57,411.20, 86,019.60 and 37,679.60 is: 56,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,411.20 : 86,019.60 = 37,679.60 : x
  2. Step 2: Convert to fraction form
    57,411.20/86,019.60 = 37,679.60/x
  3. Step 3: Cross multiply
    57,411.20x = 86,019.60 × 37,679.60
  4. Step 4: Simplify right side
    57,411.20x = 3,241,184,120.16
  5. Step 5: Solve for x
    x = 3,241,184,120.16/57,411.20
  6. Step 6: Final answer
    x = 56,455.61

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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.