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Finding the Fourth Proportional to 103,984.80, 143,460.54 and 68,194.68

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Solution

The fourth proportional to 103,984.80, 143,460.54 and 68,194.68 is: 94,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,984.80 : 143,460.54 = 68,194.68 : x
  2. Step 2: Convert to fraction form
    103,984.80/143,460.54 = 68,194.68/x
  3. Step 3: Cross multiply
    103,984.80x = 143,460.54 × 68,194.68
  4. Step 4: Simplify right side
    103,984.80x = 9,783,245,617.93
  5. Step 5: Solve for x
    x = 9,783,245,617.93/103,984.80
  6. Step 6: Final answer
    x = 94,083.42

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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.