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Finding the Fourth Proportional to 259,859.02, 389,814 and 108,024.70

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Solution

The fourth proportional to 259,859.02, 389,814 and 108,024.70 is: 162,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,859.02 : 389,814 = 108,024.70 : x
  2. Step 2: Convert to fraction form
    259,859.02/389,814 = 108,024.70/x
  3. Step 3: Cross multiply
    259,859.02x = 389,814 × 108,024.70
  4. Step 4: Simplify right side
    259,859.02x = 42,109,540,405.80
  5. Step 5: Solve for x
    x = 42,109,540,405.80/259,859.02
  6. Step 6: Final answer
    x = 162,047.64

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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.