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Finding the Fourth Proportional to 120,353.51, 166,090.43 and 65,907.97

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Solution

The fourth proportional to 120,353.51, 166,090.43 and 65,907.97 is: 90,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,353.51 : 166,090.43 = 65,907.97 : x
  2. Step 2: Convert to fraction form
    120,353.51/166,090.43 = 65,907.97/x
  3. Step 3: Cross multiply
    120,353.51x = 166,090.43 × 65,907.97
  4. Step 4: Simplify right side
    120,353.51x = 10,946,682,827.27
  5. Step 5: Solve for x
    x = 10,946,682,827.27/120,353.51
  6. Step 6: Final answer
    x = 90,954.41

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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.