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Finding the Fourth Proportional to 115,194, 159,021 and 81,230.16

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Solution

The fourth proportional to 115,194, 159,021 and 81,230.16 is: 112,135.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,194 : 159,021 = 81,230.16 : x
  2. Step 2: Convert to fraction form
    115,194/159,021 = 81,230.16/x
  3. Step 3: Cross multiply
    115,194x = 159,021 × 81,230.16
  4. Step 4: Simplify right side
    115,194x = 12,917,301,273.36
  5. Step 5: Solve for x
    x = 12,917,301,273.36/115,194
  6. Step 6: Final answer
    x = 112,135.19

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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.