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Finding the Fourth Proportional to 230,800.50, 318,515.69 and 130,198.50

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Solution

The fourth proportional to 230,800.50, 318,515.69 and 130,198.50 is: 179,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,800.50 : 318,515.69 = 130,198.50 : x
  2. Step 2: Convert to fraction form
    230,800.50/318,515.69 = 130,198.50/x
  3. Step 3: Cross multiply
    230,800.50x = 318,515.69 × 130,198.50
  4. Step 4: Simplify right side
    230,800.50x = 41,470,265,389.96
  5. Step 5: Solve for x
    x = 41,470,265,389.96/230,800.50
  6. Step 6: Final answer
    x = 179,680.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.