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Finding the Fourth Proportional to 120,157.72, 165,814.37 and 66,440.95

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Solution

The fourth proportional to 120,157.72, 165,814.37 and 66,440.95 is: 91,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,157.72 : 165,814.37 = 66,440.95 : x
  2. Step 2: Convert to fraction form
    120,157.72/165,814.37 = 66,440.95/x
  3. Step 3: Cross multiply
    120,157.72x = 165,814.37 × 66,440.95
  4. Step 4: Simplify right side
    120,157.72x = 11,016,863,934.25
  5. Step 5: Solve for x
    x = 11,016,863,934.25/120,157.72
  6. Step 6: Final answer
    x = 91,686.69

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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.