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Finding the Fourth Proportional to 259,660.60, 389,709.60 and 102,002.20

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Solution

The fourth proportional to 259,660.60, 389,709.60 and 102,002.20 is: 153,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,660.60 : 389,709.60 = 102,002.20 : x
  2. Step 2: Convert to fraction form
    259,660.60/389,709.60 = 102,002.20/x
  3. Step 3: Cross multiply
    259,660.60x = 389,709.60 × 102,002.20
  4. Step 4: Simplify right side
    259,660.60x = 39,751,236,561.12
  5. Step 5: Solve for x
    x = 39,751,236,561.12/259,660.60
  6. Step 6: Final answer
    x = 153,089.21

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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.