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Finding the Fourth Proportional to 196,995.40, 295,406.70 and 78,627.40

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Solution

The fourth proportional to 196,995.40, 295,406.70 and 78,627.40 is: 117,906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,995.40 : 295,406.70 = 78,627.40 : x
  2. Step 2: Convert to fraction form
    196,995.40/295,406.70 = 78,627.40/x
  3. Step 3: Cross multiply
    196,995.40x = 295,406.70 × 78,627.40
  4. Step 4: Simplify right side
    196,995.40x = 23,227,060,763.58
  5. Step 5: Solve for x
    x = 23,227,060,763.58/196,995.40
  6. Step 6: Final answer
    x = 117,906.61

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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.