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Finding the Fourth Proportional to 76,745.21, 114,905.21 and 39,224.48

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Solution

The fourth proportional to 76,745.21, 114,905.21 and 39,224.48 is: 58,728.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,745.21 : 114,905.21 = 39,224.48 : x
  2. Step 2: Convert to fraction form
    76,745.21/114,905.21 = 39,224.48/x
  3. Step 3: Cross multiply
    76,745.21x = 114,905.21 × 39,224.48
  4. Step 4: Simplify right side
    76,745.21x = 4,507,096,340.89
  5. Step 5: Solve for x
    x = 4,507,096,340.89/76,745.21
  6. Step 6: Final answer
    x = 58,728.05

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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.