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Finding the Fourth Proportional to 269,667.16, 372,141.80 and 148,812

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Solution

The fourth proportional to 269,667.16, 372,141.80 and 148,812 is: 205,361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,667.16 : 372,141.80 = 148,812 : x
  2. Step 2: Convert to fraction form
    269,667.16/372,141.80 = 148,812/x
  3. Step 3: Cross multiply
    269,667.16x = 372,141.80 × 148,812
  4. Step 4: Simplify right side
    269,667.16x = 55,379,165,541.60
  5. Step 5: Solve for x
    x = 55,379,165,541.60/269,667.16
  6. Step 6: Final answer
    x = 205,361.18

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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.