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Finding the Fourth Proportional to 55,912.80, 83,840.40 and 20,834.40

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Solution

The fourth proportional to 55,912.80, 83,840.40 and 20,834.40 is: 31,240.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,912.80 : 83,840.40 = 20,834.40 : x
  2. Step 2: Convert to fraction form
    55,912.80/83,840.40 = 20,834.40/x
  3. Step 3: Cross multiply
    55,912.80x = 83,840.40 × 20,834.40
  4. Step 4: Simplify right side
    55,912.80x = 1,746,764,429.76
  5. Step 5: Solve for x
    x = 1,746,764,429.76/55,912.80
  6. Step 6: Final answer
    x = 31,240.87

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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.