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Finding the Fourth Proportional to 106,959.69, 160,441.56 and 40,431.15

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Solution

The fourth proportional to 106,959.69, 160,441.56 and 40,431.15 is: 60,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,959.69 : 160,441.56 = 40,431.15 : x
  2. Step 2: Convert to fraction form
    106,959.69/160,441.56 = 40,431.15/x
  3. Step 3: Cross multiply
    106,959.69x = 160,441.56 × 40,431.15
  4. Step 4: Simplify right side
    106,959.69x = 6,486,836,778.59
  5. Step 5: Solve for x
    x = 6,486,836,778.59/106,959.69
  6. Step 6: Final answer
    x = 60,647.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.