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Finding the Fourth Proportional to 138,496.40, 191,164.24 and 81,927.44

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Solution

The fourth proportional to 138,496.40, 191,164.24 and 81,927.44 is: 113,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,496.40 : 191,164.24 = 81,927.44 : x
  2. Step 2: Convert to fraction form
    138,496.40/191,164.24 = 81,927.44/x
  3. Step 3: Cross multiply
    138,496.40x = 191,164.24 × 81,927.44
  4. Step 4: Simplify right side
    138,496.40x = 15,661,596,802.75
  5. Step 5: Solve for x
    x = 15,661,596,802.75/138,496.40
  6. Step 6: Final answer
    x = 113,083.06

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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.