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Finding the Fourth Proportional to 259,429, 358,012.50 and 140,197

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Solution

The fourth proportional to 259,429, 358,012.50 and 140,197 is: 193,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,429 : 358,012.50 = 140,197 : x
  2. Step 2: Convert to fraction form
    259,429/358,012.50 = 140,197/x
  3. Step 3: Cross multiply
    259,429x = 358,012.50 × 140,197
  4. Step 4: Simplify right side
    259,429x = 50,192,278,462.50
  5. Step 5: Solve for x
    x = 50,192,278,462.50/259,429
  6. Step 6: Final answer
    x = 193,472.12

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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.