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Finding the Fourth Proportional to 86,616, 129,927.78 and 27,456.03

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Solution

The fourth proportional to 86,616, 129,927.78 and 27,456.03 is: 41,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,616 : 129,927.78 = 27,456.03 : x
  2. Step 2: Convert to fraction form
    86,616/129,927.78 = 27,456.03/x
  3. Step 3: Cross multiply
    86,616x = 129,927.78 × 27,456.03
  4. Step 4: Simplify right side
    86,616x = 3,567,301,025.51
  5. Step 5: Solve for x
    x = 3,567,301,025.51/86,616
  6. Step 6: Final answer
    x = 41,185.24

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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.