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Finding the Fourth Proportional to 120,178.44, 165,851.43 and 66,463.47

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Solution

The fourth proportional to 120,178.44, 165,851.43 and 66,463.47 is: 91,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,178.44 : 165,851.43 = 66,463.47 : x
  2. Step 2: Convert to fraction form
    120,178.44/165,851.43 = 66,463.47/x
  3. Step 3: Cross multiply
    120,178.44x = 165,851.43 × 66,463.47
  4. Step 4: Simplify right side
    120,178.44x = 11,023,061,542.26
  5. Step 5: Solve for x
    x = 11,023,061,542.26/120,178.44
  6. Step 6: Final answer
    x = 91,722.45

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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.