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Finding the Fourth Proportional to 120,131.58, 165,783.60 and 69,830.58

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Solution

The fourth proportional to 120,131.58, 165,783.60 and 69,830.58 is: 96,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,131.58 : 165,783.60 = 69,830.58 : x
  2. Step 2: Convert to fraction form
    120,131.58/165,783.60 = 69,830.58/x
  3. Step 3: Cross multiply
    120,131.58x = 165,783.60 × 69,830.58
  4. Step 4: Simplify right side
    120,131.58x = 11,576,764,942.49
  5. Step 5: Solve for x
    x = 11,576,764,942.49/120,131.58
  6. Step 6: Final answer
    x = 96,367.37

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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.