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Finding the Fourth Proportional to 54,707.80, 81,974.18 and 49,459

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Solution

The fourth proportional to 54,707.80, 81,974.18 and 49,459 is: 74,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,707.80 : 81,974.18 = 49,459 : x
  2. Step 2: Convert to fraction form
    54,707.80/81,974.18 = 49,459/x
  3. Step 3: Cross multiply
    54,707.80x = 81,974.18 × 49,459
  4. Step 4: Simplify right side
    54,707.80x = 4,054,360,968.62
  5. Step 5: Solve for x
    x = 4,054,360,968.62/54,707.80
  6. Step 6: Final answer
    x = 74,109.38

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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.