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Finding the Fourth Proportional to 195,072, 269,199.36 and 105,648

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Solution

The fourth proportional to 195,072, 269,199.36 and 105,648 is: 145,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,072 : 269,199.36 = 105,648 : x
  2. Step 2: Convert to fraction form
    195,072/269,199.36 = 105,648/x
  3. Step 3: Cross multiply
    195,072x = 269,199.36 × 105,648
  4. Step 4: Simplify right side
    195,072x = 28,440,373,985.28
  5. Step 5: Solve for x
    x = 28,440,373,985.28/195,072
  6. Step 6: Final answer
    x = 145,794.24

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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.