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Finding the Fourth Proportional to 74,452.14, 102,771 and 49,309.74

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Solution

The fourth proportional to 74,452.14, 102,771 and 49,309.74 is: 68,065.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,452.14 : 102,771 = 49,309.74 : x
  2. Step 2: Convert to fraction form
    74,452.14/102,771 = 49,309.74/x
  3. Step 3: Cross multiply
    74,452.14x = 102,771 × 49,309.74
  4. Step 4: Simplify right side
    74,452.14x = 5,067,611,289.54
  5. Step 5: Solve for x
    x = 5,067,611,289.54/74,452.14
  6. Step 6: Final answer
    x = 68,065.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.