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Finding the Fourth Proportional to 80,712, 111,352.48 and 50,485.84

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Solution

The fourth proportional to 80,712, 111,352.48 and 50,485.84 is: 69,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,712 : 111,352.48 = 50,485.84 : x
  2. Step 2: Convert to fraction form
    80,712/111,352.48 = 50,485.84/x
  3. Step 3: Cross multiply
    80,712x = 111,352.48 × 50,485.84
  4. Step 4: Simplify right side
    80,712x = 5,621,723,084.29
  5. Step 5: Solve for x
    x = 5,621,723,084.29/80,712
  6. Step 6: Final answer
    x = 69,651.64

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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.