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Finding the Fourth Proportional to 199,363.60, 298,808.60 and 105,821.20

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Solution

The fourth proportional to 199,363.60, 298,808.60 and 105,821.20 is: 158,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,363.60 : 298,808.60 = 105,821.20 : x
  2. Step 2: Convert to fraction form
    199,363.60/298,808.60 = 105,821.20/x
  3. Step 3: Cross multiply
    199,363.60x = 298,808.60 × 105,821.20
  4. Step 4: Simplify right side
    199,363.60x = 31,620,284,622.32
  5. Step 5: Solve for x
    x = 31,620,284,622.32/199,363.60
  6. Step 6: Final answer
    x = 158,606.11

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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.