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Finding the Fourth Proportional to 260,970, 360,138.60 and 141,738

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Solution

The fourth proportional to 260,970, 360,138.60 and 141,738 is: 195,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,970 : 360,138.60 = 141,738 : x
  2. Step 2: Convert to fraction form
    260,970/360,138.60 = 141,738/x
  3. Step 3: Cross multiply
    260,970x = 360,138.60 × 141,738
  4. Step 4: Simplify right side
    260,970x = 51,045,324,886.80
  5. Step 5: Solve for x
    x = 51,045,324,886.80/260,970
  6. Step 6: Final answer
    x = 195,598.44

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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.