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Finding the Fourth Proportional to 222,978.90, 307,704.51 and 120,999.90

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Solution

The fourth proportional to 222,978.90, 307,704.51 and 120,999.90 is: 166,976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,978.90 : 307,704.51 = 120,999.90 : x
  2. Step 2: Convert to fraction form
    222,978.90/307,704.51 = 120,999.90/x
  3. Step 3: Cross multiply
    222,978.90x = 307,704.51 × 120,999.90
  4. Step 4: Simplify right side
    222,978.90x = 37,232,214,939.55
  5. Step 5: Solve for x
    x = 37,232,214,939.55/222,978.90
  6. Step 6: Final answer
    x = 166,976.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.