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Finding the Fourth Proportional to 259,204, 357,701.52 and 139,972

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Solution

The fourth proportional to 259,204, 357,701.52 and 139,972 is: 193,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,204 : 357,701.52 = 139,972 : x
  2. Step 2: Convert to fraction form
    259,204/357,701.52 = 139,972/x
  3. Step 3: Cross multiply
    259,204x = 357,701.52 × 139,972
  4. Step 4: Simplify right side
    259,204x = 50,068,197,157.44
  5. Step 5: Solve for x
    x = 50,068,197,157.44/259,204
  6. Step 6: Final answer
    x = 193,161.36

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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.