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Finding the Fourth Proportional to 143,019.50, 197,376.34 and 82,592.68

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Solution

The fourth proportional to 143,019.50, 197,376.34 and 82,592.68 is: 113,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,019.50 : 197,376.34 = 82,592.68 : x
  2. Step 2: Convert to fraction form
    143,019.50/197,376.34 = 82,592.68/x
  3. Step 3: Cross multiply
    143,019.50x = 197,376.34 × 82,592.68
  4. Step 4: Simplify right side
    143,019.50x = 16,301,840,889.19
  5. Step 5: Solve for x
    x = 16,301,840,889.19/143,019.50
  6. Step 6: Final answer
    x = 113,983.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.