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Finding the Fourth Proportional to 342,138.44, 513,236.37 and 126,056

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Solution

The fourth proportional to 342,138.44, 513,236.37 and 126,056 is: 189,094.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,138.44 : 513,236.37 = 126,056 : x
  2. Step 2: Convert to fraction form
    342,138.44/513,236.37 = 126,056/x
  3. Step 3: Cross multiply
    342,138.44x = 513,236.37 × 126,056
  4. Step 4: Simplify right side
    342,138.44x = 64,696,523,856.72
  5. Step 5: Solve for x
    x = 64,696,523,856.72/342,138.44
  6. Step 6: Final answer
    x = 189,094.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.