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Finding the Fourth Proportional to 120,186.69, 165,843.24 and 66,464.40

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Solution

The fourth proportional to 120,186.69, 165,843.24 and 66,464.40 is: 91,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,186.69 : 165,843.24 = 66,464.40 : x
  2. Step 2: Convert to fraction form
    120,186.69/165,843.24 = 66,464.40/x
  3. Step 3: Cross multiply
    120,186.69x = 165,843.24 × 66,464.40
  4. Step 4: Simplify right side
    120,186.69x = 11,022,671,440.66
  5. Step 5: Solve for x
    x = 11,022,671,440.66/120,186.69
  6. Step 6: Final answer
    x = 91,712.91

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1.5x scale

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.