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Finding the Fourth Proportional to 103,640.64, 143,016.21 and 61,190.97

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Solution

The fourth proportional to 103,640.64, 143,016.21 and 61,190.97 is: 84,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640.64 : 143,016.21 = 61,190.97 : x
  2. Step 2: Convert to fraction form
    103,640.64/143,016.21 = 61,190.97/x
  3. Step 3: Cross multiply
    103,640.64x = 143,016.21 × 61,190.97
  4. Step 4: Simplify right side
    103,640.64x = 8,751,300,615.62
  5. Step 5: Solve for x
    x = 8,751,300,615.62/103,640.64
  6. Step 6: Final answer
    x = 84,438.89

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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.