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Finding the Fourth Proportional to 120,129.30, 165,763.73 and 66,406.86

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Solution

The fourth proportional to 120,129.30, 165,763.73 and 66,406.86 is: 91,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,129.30 : 165,763.73 = 66,406.86 : x
  2. Step 2: Convert to fraction form
    120,129.30/165,763.73 = 66,406.86/x
  3. Step 3: Cross multiply
    120,129.30x = 165,763.73 × 66,406.86
  4. Step 4: Simplify right side
    120,129.30x = 11,007,848,977.21
  5. Step 5: Solve for x
    x = 11,007,848,977.21/120,129.30
  6. Step 6: Final answer
    x = 91,633.34

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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.