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Finding the Fourth Proportional to 120,273.69, 165,978.02 and 66,562.41

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Solution

The fourth proportional to 120,273.69, 165,978.02 and 66,562.41 is: 91,856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,273.69 : 165,978.02 = 66,562.41 : x
  2. Step 2: Convert to fraction form
    120,273.69/165,978.02 = 66,562.41/x
  3. Step 3: Cross multiply
    120,273.69x = 165,978.02 × 66,562.41
  4. Step 4: Simplify right side
    120,273.69x = 11,047,896,685.42
  5. Step 5: Solve for x
    x = 11,047,896,685.42/120,273.69
  6. Step 6: Final answer
    x = 91,856.30

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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.