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Finding the Fourth Proportional to 81,289.80, 112,069.44 and 57,057.84

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Solution

The fourth proportional to 81,289.80, 112,069.44 and 57,057.84 is: 78,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,289.80 : 112,069.44 = 57,057.84 : x
  2. Step 2: Convert to fraction form
    81,289.80/112,069.44 = 57,057.84/x
  3. Step 3: Cross multiply
    81,289.80x = 112,069.44 × 57,057.84
  4. Step 4: Simplify right side
    81,289.80x = 6,394,440,176.41
  5. Step 5: Solve for x
    x = 6,394,440,176.41/81,289.80
  6. Step 6: Final answer
    x = 78,662.27

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1.5x scale

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.