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Finding the Fourth Proportional to 120,090.29, 165,710.21 and 66,367.98

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Solution

The fourth proportional to 120,090.29, 165,710.21 and 66,367.98 is: 91,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,090.29 : 165,710.21 = 66,367.98 : x
  2. Step 2: Convert to fraction form
    120,090.29/165,710.21 = 66,367.98/x
  3. Step 3: Cross multiply
    120,090.29x = 165,710.21 × 66,367.98
  4. Step 4: Simplify right side
    120,090.29x = 10,997,851,571.24
  5. Step 5: Solve for x
    x = 10,997,851,571.24/120,090.29
  6. Step 6: Final answer
    x = 91,579.86

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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.