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Finding the Fourth Proportional to 84,318, 116,378.24 and 48,528.68

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Solution

The fourth proportional to 84,318, 116,378.24 and 48,528.68 is: 66,980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,318 : 116,378.24 = 48,528.68 : x
  2. Step 2: Convert to fraction form
    84,318/116,378.24 = 48,528.68/x
  3. Step 3: Cross multiply
    84,318x = 116,378.24 × 48,528.68
  4. Step 4: Simplify right side
    84,318x = 5,647,682,367.92
  5. Step 5: Solve for x
    x = 5,647,682,367.92/84,318
  6. Step 6: Final answer
    x = 66,980.74

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Why These Related Problems?

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