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Finding the Fourth Proportional to 143,378.36, 197,873.22 and 86,019.84

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Solution

The fourth proportional to 143,378.36, 197,873.22 and 86,019.84 is: 118,714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,378.36 : 197,873.22 = 86,019.84 : x
  2. Step 2: Convert to fraction form
    143,378.36/197,873.22 = 86,019.84/x
  3. Step 3: Cross multiply
    143,378.36x = 197,873.22 × 86,019.84
  4. Step 4: Simplify right side
    143,378.36x = 17,021,022,724.68
  5. Step 5: Solve for x
    x = 17,021,022,724.68/143,378.36
  6. Step 6: Final answer
    x = 118,714.03

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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.