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Finding the Fourth Proportional to 120,133.53, 165,769.41 and 66,419.60

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Solution

The fourth proportional to 120,133.53, 165,769.41 and 66,419.60 is: 91,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,133.53 : 165,769.41 = 66,419.60 : x
  2. Step 2: Convert to fraction form
    120,133.53/165,769.41 = 66,419.60/x
  3. Step 3: Cross multiply
    120,133.53x = 165,769.41 × 66,419.60
  4. Step 4: Simplify right side
    120,133.53x = 11,010,337,075.59
  5. Step 5: Solve for x
    x = 11,010,337,075.59/120,133.53
  6. Step 6: Final answer
    x = 91,650.82

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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.