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Finding the Fourth Proportional to 102,997, 142,119.42 and 57,676.96

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Solution

The fourth proportional to 102,997, 142,119.42 and 57,676.96 is: 79,585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,997 : 142,119.42 = 57,676.96 : x
  2. Step 2: Convert to fraction form
    102,997/142,119.42 = 57,676.96/x
  3. Step 3: Cross multiply
    102,997x = 142,119.42 × 57,676.96
  4. Step 4: Simplify right side
    102,997x = 8,197,016,102.56
  5. Step 5: Solve for x
    x = 8,197,016,102.56/102,997
  6. Step 6: Final answer
    x = 79,585.00

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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.