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Finding the Fourth Proportional to 103,631.36, 142,998.41 and 65,376.41

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Solution

The fourth proportional to 103,631.36, 142,998.41 and 65,376.41 is: 90,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,631.36 : 142,998.41 = 65,376.41 : x
  2. Step 2: Convert to fraction form
    103,631.36/142,998.41 = 65,376.41/x
  3. Step 3: Cross multiply
    103,631.36x = 142,998.41 × 65,376.41
  4. Step 4: Simplify right side
    103,631.36x = 9,348,722,129.96
  5. Step 5: Solve for x
    x = 9,348,722,129.96/103,631.36
  6. Step 6: Final answer
    x = 90,211.33

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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.