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Finding the Fourth Proportional to 129,814, 179,143.34 and 70,198

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Solution

The fourth proportional to 129,814, 179,143.34 and 70,198 is: 96,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,814 : 179,143.34 = 70,198 : x
  2. Step 2: Convert to fraction form
    129,814/179,143.34 = 70,198/x
  3. Step 3: Cross multiply
    129,814x = 179,143.34 × 70,198
  4. Step 4: Simplify right side
    129,814x = 12,575,504,181.32
  5. Step 5: Solve for x
    x = 12,575,504,181.32/129,814
  6. Step 6: Final answer
    x = 96,873.25

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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.