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Finding the Fourth Proportional to 105,811, 146,018.97 and 57,412.91

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Solution

The fourth proportional to 105,811, 146,018.97 and 57,412.91 is: 79,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,811 : 146,018.97 = 57,412.91 : x
  2. Step 2: Convert to fraction form
    105,811/146,018.97 = 57,412.91/x
  3. Step 3: Cross multiply
    105,811x = 146,018.97 × 57,412.91
  4. Step 4: Simplify right side
    105,811x = 8,383,373,982.90
  5. Step 5: Solve for x
    x = 8,383,373,982.90/105,811
  6. Step 6: Final answer
    x = 79,229.70

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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.