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Finding the Fourth Proportional to 76,972.80, 115,556.40 and 41,462.40

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Solution

The fourth proportional to 76,972.80, 115,556.40 and 41,462.40 is: 62,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,972.80 : 115,556.40 = 41,462.40 : x
  2. Step 2: Convert to fraction form
    76,972.80/115,556.40 = 41,462.40/x
  3. Step 3: Cross multiply
    76,972.80x = 115,556.40 × 41,462.40
  4. Step 4: Simplify right side
    76,972.80x = 4,791,245,679.36
  5. Step 5: Solve for x
    x = 4,791,245,679.36/76,972.80
  6. Step 6: Final answer
    x = 62,245.96

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