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Finding the Fourth Proportional to 260,914, 360,061.32 and 141,682

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Solution

The fourth proportional to 260,914, 360,061.32 and 141,682 is: 195,521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,914 : 360,061.32 = 141,682 : x
  2. Step 2: Convert to fraction form
    260,914/360,061.32 = 141,682/x
  3. Step 3: Cross multiply
    260,914x = 360,061.32 × 141,682
  4. Step 4: Simplify right side
    260,914x = 51,014,207,940.24
  5. Step 5: Solve for x
    x = 51,014,207,940.24/260,914
  6. Step 6: Final answer
    x = 195,521.16

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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.