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Finding the Fourth Proportional to 260,106.40, 390,170.40 and 82,608.40

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Solution

The fourth proportional to 260,106.40, 390,170.40 and 82,608.40 is: 123,916.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,106.40 : 390,170.40 = 82,608.40 : x
  2. Step 2: Convert to fraction form
    260,106.40/390,170.40 = 82,608.40/x
  3. Step 3: Cross multiply
    260,106.40x = 390,170.40 × 82,608.40
  4. Step 4: Simplify right side
    260,106.40x = 32,231,352,471.36
  5. Step 5: Solve for x
    x = 32,231,352,471.36/260,106.40
  6. Step 6: Final answer
    x = 123,916.03

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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.