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Finding the Fourth Proportional to 130,389.20, 195,583.80 and 68,078.80

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Solution

The fourth proportional to 130,389.20, 195,583.80 and 68,078.80 is: 102,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,389.20 : 195,583.80 = 68,078.80 : x
  2. Step 2: Convert to fraction form
    130,389.20/195,583.80 = 68,078.80/x
  3. Step 3: Cross multiply
    130,389.20x = 195,583.80 × 68,078.80
  4. Step 4: Simplify right side
    130,389.20x = 13,315,110,403.44
  5. Step 5: Solve for x
    x = 13,315,110,403.44/130,389.20
  6. Step 6: Final answer
    x = 102,118.20

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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.