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Finding the Fourth Proportional to 54,643.40, 81,965.10 and 49,394.60

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Solution

The fourth proportional to 54,643.40, 81,965.10 and 49,394.60 is: 74,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,643.40 : 81,965.10 = 49,394.60 : x
  2. Step 2: Convert to fraction form
    54,643.40/81,965.10 = 49,394.60/x
  3. Step 3: Cross multiply
    54,643.40x = 81,965.10 × 49,394.60
  4. Step 4: Simplify right side
    54,643.40x = 4,048,633,328.46
  5. Step 5: Solve for x
    x = 4,048,633,328.46/54,643.40
  6. Step 6: Final answer
    x = 74,091.90

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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.