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Finding the Fourth Proportional to 120,133.94, 165,769.96 and 66,420

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Solution

The fourth proportional to 120,133.94, 165,769.96 and 66,420 is: 91,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,133.94 : 165,769.96 = 66,420 : x
  2. Step 2: Convert to fraction form
    120,133.94/165,769.96 = 66,420/x
  3. Step 3: Cross multiply
    120,133.94x = 165,769.96 × 66,420
  4. Step 4: Simplify right side
    120,133.94x = 11,010,440,743.20
  5. Step 5: Solve for x
    x = 11,010,440,743.20/120,133.94
  6. Step 6: Final answer
    x = 91,651.37

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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.