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Finding the Fourth Proportional to 120,083.77, 165,701.24 and 66,361.48

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Solution

The fourth proportional to 120,083.77, 165,701.24 and 66,361.48 is: 91,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,083.77 : 165,701.24 = 66,361.48 : x
  2. Step 2: Convert to fraction form
    120,083.77/165,701.24 = 66,361.48/x
  3. Step 3: Cross multiply
    120,083.77x = 165,701.24 × 66,361.48
  4. Step 4: Simplify right side
    120,083.77x = 10,996,179,400.31
  5. Step 5: Solve for x
    x = 10,996,179,400.31/120,083.77
  6. Step 6: Final answer
    x = 91,570.91

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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.