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Finding the Fourth Proportional to 195,264, 269,464.50 and 105,840

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Solution

The fourth proportional to 195,264, 269,464.50 and 105,840 is: 146,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,264 : 269,464.50 = 105,840 : x
  2. Step 2: Convert to fraction form
    195,264/269,464.50 = 105,840/x
  3. Step 3: Cross multiply
    195,264x = 269,464.50 × 105,840
  4. Step 4: Simplify right side
    195,264x = 28,520,122,680
  5. Step 5: Solve for x
    x = 28,520,122,680/195,264
  6. Step 6: Final answer
    x = 146,059.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.