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Finding the Fourth Proportional to 195,562, 269,875.60 and 106,138

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Solution

The fourth proportional to 195,562, 269,875.60 and 106,138 is: 146,470.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,562 : 269,875.60 = 106,138 : x
  2. Step 2: Convert to fraction form
    195,562/269,875.60 = 106,138/x
  3. Step 3: Cross multiply
    195,562x = 269,875.60 × 106,138
  4. Step 4: Simplify right side
    195,562x = 28,644,056,432.80
  5. Step 5: Solve for x
    x = 28,644,056,432.80/195,562
  6. Step 6: Final answer
    x = 146,470.46

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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.