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Finding the Fourth Proportional to 197,193.20, 295,911.30 and 78,852.20

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Solution

The fourth proportional to 197,193.20, 295,911.30 and 78,852.20 is: 118,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,193.20 : 295,911.30 = 78,852.20 : x
  2. Step 2: Convert to fraction form
    197,193.20/295,911.30 = 78,852.20/x
  3. Step 3: Cross multiply
    197,193.20x = 295,911.30 × 78,852.20
  4. Step 4: Simplify right side
    197,193.20x = 23,333,257,009.86
  5. Step 5: Solve for x
    x = 23,333,257,009.86/197,193.20
  6. Step 6: Final answer
    x = 118,326.88

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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.