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Finding the Fourth Proportional to 195,738, 270,118.71 and 106,314

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Solution

The fourth proportional to 195,738, 270,118.71 and 106,314 is: 146,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,738 : 270,118.71 = 106,314 : x
  2. Step 2: Convert to fraction form
    195,738/270,118.71 = 106,314/x
  3. Step 3: Cross multiply
    195,738x = 270,118.71 × 106,314
  4. Step 4: Simplify right side
    195,738x = 28,717,400,534.94
  5. Step 5: Solve for x
    x = 28,717,400,534.94/195,738
  6. Step 6: Final answer
    x = 146,713.47

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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.