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Finding the Fourth Proportional to 80,971.60, 121,408.80 and 41,605.60

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Solution

The fourth proportional to 80,971.60, 121,408.80 and 41,605.60 is: 62,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,971.60 : 121,408.80 = 41,605.60 : x
  2. Step 2: Convert to fraction form
    80,971.60/121,408.80 = 41,605.60/x
  3. Step 3: Cross multiply
    80,971.60x = 121,408.80 × 41,605.60
  4. Step 4: Simplify right side
    80,971.60x = 5,051,285,969.28
  5. Step 5: Solve for x
    x = 5,051,285,969.28/80,971.60
  6. Step 6: Final answer
    x = 62,383.43

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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.