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Finding the Fourth Proportional to 43,782.93, 65,695.86 and 27,138.54

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Solution

The fourth proportional to 43,782.93, 65,695.86 and 27,138.54 is: 40,721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,782.93 : 65,695.86 = 27,138.54 : x
  2. Step 2: Convert to fraction form
    43,782.93/65,695.86 = 27,138.54/x
  3. Step 3: Cross multiply
    43,782.93x = 65,695.86 × 27,138.54
  4. Step 4: Simplify right side
    43,782.93x = 1,782,889,970.80
  5. Step 5: Solve for x
    x = 1,782,889,970.80/43,782.93
  6. Step 6: Final answer
    x = 40,721.12

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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.