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Finding the Fourth Proportional to 131,296.96, 196,945.44 and 104,878

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Solution

The fourth proportional to 131,296.96, 196,945.44 and 104,878 is: 157,317

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,296.96 : 196,945.44 = 104,878 : x
  2. Step 2: Convert to fraction form
    131,296.96/196,945.44 = 104,878/x
  3. Step 3: Cross multiply
    131,296.96x = 196,945.44 × 104,878
  4. Step 4: Simplify right side
    131,296.96x = 20,655,243,856.32
  5. Step 5: Solve for x
    x = 20,655,243,856.32/131,296.96
  6. Step 6: Final answer
    x = 157,317

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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.