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Finding the Fourth Proportional to 120,142.58, 165,804.57 and 69,161.58

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Solution

The fourth proportional to 120,142.58, 165,804.57 and 69,161.58 is: 95,447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,142.58 : 165,804.57 = 69,161.58 : x
  2. Step 2: Convert to fraction form
    120,142.58/165,804.57 = 69,161.58/x
  3. Step 3: Cross multiply
    120,142.58x = 165,804.57 × 69,161.58
  4. Step 4: Simplify right side
    120,142.58x = 11,467,306,032.42
  5. Step 5: Solve for x
    x = 11,467,306,032.42/120,142.58
  6. Step 6: Final answer
    x = 95,447.48

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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.