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Finding the Fourth Proportional to 102,169.97, 140,993.20 and 57,457.97

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Solution

The fourth proportional to 102,169.97, 140,993.20 and 57,457.97 is: 79,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,169.97 : 140,993.20 = 57,457.97 : x
  2. Step 2: Convert to fraction form
    102,169.97/140,993.20 = 57,457.97/x
  3. Step 3: Cross multiply
    102,169.97x = 140,993.20 × 57,457.97
  4. Step 4: Simplify right side
    102,169.97x = 8,101,183,055.80
  5. Step 5: Solve for x
    x = 8,101,183,055.80/102,169.97
  6. Step 6: Final answer
    x = 79,291.23

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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.