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Finding the Fourth Proportional to 131,494.42, 197,291.34 and 78,940.54

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Solution

The fourth proportional to 131,494.42, 197,291.34 and 78,940.54 is: 118,440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,494.42 : 197,291.34 = 78,940.54 : x
  2. Step 2: Convert to fraction form
    131,494.42/197,291.34 = 78,940.54/x
  3. Step 3: Cross multiply
    131,494.42x = 197,291.34 × 78,940.54
  4. Step 4: Simplify right side
    131,494.42x = 15,574,284,916.92
  5. Step 5: Solve for x
    x = 15,574,284,916.92/131,494.42
  6. Step 6: Final answer
    x = 118,440.65

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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.