Home / 81,817.68-122,708.16-31,880.64

Finding the Fourth Proportional to 81,817.68, 122,708.16 and 31,880.64

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Solution

The fourth proportional to 81,817.68, 122,708.16 and 31,880.64 is: 47,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,817.68 : 122,708.16 = 31,880.64 : x
  2. Step 2: Convert to fraction form
    81,817.68/122,708.16 = 31,880.64/x
  3. Step 3: Cross multiply
    81,817.68x = 122,708.16 × 31,880.64
  4. Step 4: Simplify right side
    81,817.68x = 3,912,014,674.02
  5. Step 5: Solve for x
    x = 3,912,014,674.02/81,817.68
  6. Step 6: Final answer
    x = 47,813.81

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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.