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Finding the Fourth Proportional to 260,158.60, 389,978.70 and 119,672.20

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Solution

The fourth proportional to 260,158.60, 389,978.70 and 119,672.20 is: 179,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,158.60 : 389,978.70 = 119,672.20 : x
  2. Step 2: Convert to fraction form
    260,158.60/389,978.70 = 119,672.20/x
  3. Step 3: Cross multiply
    260,158.60x = 389,978.70 × 119,672.20
  4. Step 4: Simplify right side
    260,158.60x = 46,669,608,982.14
  5. Step 5: Solve for x
    x = 46,669,608,982.14/260,158.60
  6. Step 6: Final answer
    x = 179,389.07

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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.