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Finding the Fourth Proportional to 342,168, 513,280.68 and 126,085.56

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Solution

The fourth proportional to 342,168, 513,280.68 and 126,085.56 is: 189,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,168 : 513,280.68 = 126,085.56 : x
  2. Step 2: Convert to fraction form
    342,168/513,280.68 = 126,085.56/x
  3. Step 3: Cross multiply
    342,168x = 513,280.68 × 126,085.56
  4. Step 4: Simplify right side
    342,168x = 64,717,281,974.98
  5. Step 5: Solve for x
    x = 64,717,281,974.98/342,168
  6. Step 6: Final answer
    x = 189,138.91

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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.