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Finding the Fourth Proportional to 120,090.96, 165,734.10 and 66,374.82

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Solution

The fourth proportional to 120,090.96, 165,734.10 and 66,374.82 is: 91,601.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,090.96 : 165,734.10 = 66,374.82 : x
  2. Step 2: Convert to fraction form
    120,090.96/165,734.10 = 66,374.82/x
  3. Step 3: Cross multiply
    120,090.96x = 165,734.10 × 66,374.82
  4. Step 4: Simplify right side
    120,090.96x = 11,000,571,055.36
  5. Step 5: Solve for x
    x = 11,000,571,055.36/120,090.96
  6. Step 6: Final answer
    x = 91,601.99

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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.