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Finding the Fourth Proportional to 105,728.70, 145,912.35 and 69,855.78

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Solution

The fourth proportional to 105,728.70, 145,912.35 and 69,855.78 is: 96,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,728.70 : 145,912.35 = 69,855.78 : x
  2. Step 2: Convert to fraction form
    105,728.70/145,912.35 = 69,855.78/x
  3. Step 3: Cross multiply
    105,728.70x = 145,912.35 × 69,855.78
  4. Step 4: Simplify right side
    105,728.70x = 10,192,821,020.88
  5. Step 5: Solve for x
    x = 10,192,821,020.88/105,728.70
  6. Step 6: Final answer
    x = 96,405.43

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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.