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Finding the Fourth Proportional to 138,356.50, 190,974.31 and 81,009.26

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Solution

The fourth proportional to 138,356.50, 190,974.31 and 81,009.26 is: 111,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,356.50 : 190,974.31 = 81,009.26 : x
  2. Step 2: Convert to fraction form
    138,356.50/190,974.31 = 81,009.26/x
  3. Step 3: Cross multiply
    138,356.50x = 190,974.31 × 81,009.26
  4. Step 4: Simplify right side
    138,356.50x = 15,470,687,807.02
  5. Step 5: Solve for x
    x = 15,470,687,807.02/138,356.50
  6. Step 6: Final answer
    x = 111,817.57

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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.