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Finding the Fourth Proportional to 142,657.96, 196,867.64 and 82,228.12

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Solution

The fourth proportional to 142,657.96, 196,867.64 and 82,228.12 is: 113,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,657.96 : 196,867.64 = 82,228.12 : x
  2. Step 2: Convert to fraction form
    142,657.96/196,867.64 = 82,228.12/x
  3. Step 3: Cross multiply
    142,657.96x = 196,867.64 × 82,228.12
  4. Step 4: Simplify right side
    142,657.96x = 16,188,055,926.04
  5. Step 5: Solve for x
    x = 16,188,055,926.04/142,657.96
  6. Step 6: Final answer
    x = 113,474.61

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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.