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Finding the Fourth Proportional to 86,893.39, 130,342.37 and 27,729

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Solution

The fourth proportional to 86,893.39, 130,342.37 and 27,729 is: 41,594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,893.39 : 130,342.37 = 27,729 : x
  2. Step 2: Convert to fraction form
    86,893.39/130,342.37 = 27,729/x
  3. Step 3: Cross multiply
    86,893.39x = 130,342.37 × 27,729
  4. Step 4: Simplify right side
    86,893.39x = 3,614,263,577.73
  5. Step 5: Solve for x
    x = 3,614,263,577.73/86,893.39
  6. Step 6: Final answer
    x = 41,594.23

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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.