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Finding the Fourth Proportional to 199,492.56, 298,986.52 and 87,143.12

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Solution

The fourth proportional to 199,492.56, 298,986.52 and 87,143.12 is: 130,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,492.56 : 298,986.52 = 87,143.12 : x
  2. Step 2: Convert to fraction form
    199,492.56/298,986.52 = 87,143.12/x
  3. Step 3: Cross multiply
    199,492.56x = 298,986.52 × 87,143.12
  4. Step 4: Simplify right side
    199,492.56x = 26,054,618,190.74
  5. Step 5: Solve for x
    x = 26,054,618,190.74/199,492.56
  6. Step 6: Final answer
    x = 130,604.46

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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.