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Finding the Fourth Proportional to 76,993.83, 115,396.38 and 43,741.89

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Solution

The fourth proportional to 76,993.83, 115,396.38 and 43,741.89 is: 65,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,993.83 : 115,396.38 = 43,741.89 : x
  2. Step 2: Convert to fraction form
    76,993.83/115,396.38 = 43,741.89/x
  3. Step 3: Cross multiply
    76,993.83x = 115,396.38 × 43,741.89
  4. Step 4: Simplify right side
    76,993.83x = 5,047,655,760.36
  5. Step 5: Solve for x
    x = 5,047,655,760.36/76,993.83
  6. Step 6: Final answer
    x = 65,559.22

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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.