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Finding the Fourth Proportional to 120,277.22, 165,978.44 and 66,564.50

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Solution

The fourth proportional to 120,277.22, 165,978.44 and 66,564.50 is: 91,856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,277.22 : 165,978.44 = 66,564.50 : x
  2. Step 2: Convert to fraction form
    120,277.22/165,978.44 = 66,564.50/x
  3. Step 3: Cross multiply
    120,277.22x = 165,978.44 × 66,564.50
  4. Step 4: Simplify right side
    120,277.22x = 11,048,271,869.38
  5. Step 5: Solve for x
    x = 11,048,271,869.38/120,277.22
  6. Step 6: Final answer
    x = 91,856.73

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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.