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Finding the Fourth Proportional to 130,940.86, 196,497.42 and 71,818

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Solution

The fourth proportional to 130,940.86, 196,497.42 and 71,818 is: 107,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,940.86 : 196,497.42 = 71,818 : x
  2. Step 2: Convert to fraction form
    130,940.86/196,497.42 = 71,818/x
  3. Step 3: Cross multiply
    130,940.86x = 196,497.42 × 71,818
  4. Step 4: Simplify right side
    130,940.86x = 14,112,051,709.56
  5. Step 5: Solve for x
    x = 14,112,051,709.56/130,940.86
  6. Step 6: Final answer
    x = 107,774.24

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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.