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Finding the Fourth Proportional to 131,285.84, 196,919.16 and 51,308.78

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Solution

The fourth proportional to 131,285.84, 196,919.16 and 51,308.78 is: 76,959.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,285.84 : 196,919.16 = 51,308.78 : x
  2. Step 2: Convert to fraction form
    131,285.84/196,919.16 = 51,308.78/x
  3. Step 3: Cross multiply
    131,285.84x = 196,919.16 × 51,308.78
  4. Step 4: Simplify right side
    131,285.84x = 10,103,681,858.22
  5. Step 5: Solve for x
    x = 10,103,681,858.22/131,285.84
  6. Step 6: Final answer
    x = 76,959.42

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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.