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Finding the Fourth Proportional to 138,161.32, 190,669.62 and 81,571.48

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Solution

The fourth proportional to 138,161.32, 190,669.62 and 81,571.48 is: 112,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,161.32 : 190,669.62 = 81,571.48 : x
  2. Step 2: Convert to fraction form
    138,161.32/190,669.62 = 81,571.48/x
  3. Step 3: Cross multiply
    138,161.32x = 190,669.62 × 81,571.48
  4. Step 4: Simplify right side
    138,161.32x = 15,553,203,094.44
  5. Step 5: Solve for x
    x = 15,553,203,094.44/138,161.32
  6. Step 6: Final answer
    x = 112,572.77

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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.