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Finding the Fourth Proportional to 195,172, 269,337.54 and 105,748

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Solution

The fourth proportional to 195,172, 269,337.54 and 105,748 is: 145,932.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,172 : 269,337.54 = 105,748 : x
  2. Step 2: Convert to fraction form
    195,172/269,337.54 = 105,748/x
  3. Step 3: Cross multiply
    195,172x = 269,337.54 × 105,748
  4. Step 4: Simplify right side
    195,172x = 28,481,906,179.92
  5. Step 5: Solve for x
    x = 28,481,906,179.92/195,172
  6. Step 6: Final answer
    x = 145,932.34

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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.