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Finding the Fourth Proportional to 105,902.75, 146,178.60 and 68,177

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Solution

The fourth proportional to 105,902.75, 146,178.60 and 68,177 is: 94,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,902.75 : 146,178.60 = 68,177 : x
  2. Step 2: Convert to fraction form
    105,902.75/146,178.60 = 68,177/x
  3. Step 3: Cross multiply
    105,902.75x = 146,178.60 × 68,177
  4. Step 4: Simplify right side
    105,902.75x = 9,966,018,412.20
  5. Step 5: Solve for x
    x = 9,966,018,412.20/105,902.75
  6. Step 6: Final answer
    x = 94,105.38

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1.5x scale

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.