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Finding the Fourth Proportional to 229,273.64, 343,978.78 and 109,420.56

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Solution

The fourth proportional to 229,273.64, 343,978.78 and 109,420.56 is: 164,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,273.64 : 343,978.78 = 109,420.56 : x
  2. Step 2: Convert to fraction form
    229,273.64/343,978.78 = 109,420.56/x
  3. Step 3: Cross multiply
    229,273.64x = 343,978.78 × 109,420.56
  4. Step 4: Simplify right side
    229,273.64x = 37,638,350,735.72
  5. Step 5: Solve for x
    x = 37,638,350,735.72/229,273.64
  6. Step 6: Final answer
    x = 164,163.45

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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.