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Finding the Fourth Proportional to 196,905.80, 295,196.70 and 84,672.20

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Solution

The fourth proportional to 196,905.80, 295,196.70 and 84,672.20 is: 126,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,905.80 : 295,196.70 = 84,672.20 : x
  2. Step 2: Convert to fraction form
    196,905.80/295,196.70 = 84,672.20/x
  3. Step 3: Cross multiply
    196,905.80x = 295,196.70 × 84,672.20
  4. Step 4: Simplify right side
    196,905.80x = 24,994,954,021.74
  5. Step 5: Solve for x
    x = 24,994,954,021.74/196,905.80
  6. Step 6: Final answer
    x = 126,938.64

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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.