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Finding the Fourth Proportional to 260,021.64, 390,080.88 and 82,480.80

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Solution

The fourth proportional to 260,021.64, 390,080.88 and 82,480.80 is: 123,736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,021.64 : 390,080.88 = 82,480.80 : x
  2. Step 2: Convert to fraction form
    260,021.64/390,080.88 = 82,480.80/x
  3. Step 3: Cross multiply
    260,021.64x = 390,080.88 × 82,480.80
  4. Step 4: Simplify right side
    260,021.64x = 32,174,183,047.10
  5. Step 5: Solve for x
    x = 32,174,183,047.10/260,021.64
  6. Step 6: Final answer
    x = 123,736.56

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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.