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Finding the Fourth Proportional to 130,978.72, 196,469.45 and 104,849.56

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Solution

The fourth proportional to 130,978.72, 196,469.45 and 104,849.56 is: 157,275.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,978.72 : 196,469.45 = 104,849.56 : x
  2. Step 2: Convert to fraction form
    130,978.72/196,469.45 = 104,849.56/x
  3. Step 3: Cross multiply
    130,978.72x = 196,469.45 × 104,849.56
  4. Step 4: Simplify right side
    130,978.72x = 20,599,735,385.94
  5. Step 5: Solve for x
    x = 20,599,735,385.94/130,978.72
  6. Step 6: Final answer
    x = 157,275.44

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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.