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Finding the Fourth Proportional to 131,164.40, 196,796.28 and 78,611.60

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Solution

The fourth proportional to 131,164.40, 196,796.28 and 78,611.60 is: 117,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,164.40 : 196,796.28 = 78,611.60 : x
  2. Step 2: Convert to fraction form
    131,164.40/196,796.28 = 78,611.60/x
  3. Step 3: Cross multiply
    131,164.40x = 196,796.28 × 78,611.60
  4. Step 4: Simplify right side
    131,164.40x = 15,470,470,444.85
  5. Step 5: Solve for x
    x = 15,470,470,444.85/131,164.40
  6. Step 6: Final answer
    x = 117,947.18

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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.