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Finding the Fourth Proportional to 120,273.44, 165,978.84 and 66,558.32

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Solution

The fourth proportional to 120,273.44, 165,978.84 and 66,558.32 is: 91,851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,273.44 : 165,978.84 = 66,558.32 : x
  2. Step 2: Convert to fraction form
    120,273.44/165,978.84 = 66,558.32/x
  3. Step 3: Cross multiply
    120,273.44x = 165,978.84 × 66,558.32
  4. Step 4: Simplify right side
    120,273.44x = 11,047,272,745.95
  5. Step 5: Solve for x
    x = 11,047,272,745.95/120,273.44
  6. Step 6: Final answer
    x = 91,851.31

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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.