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Finding the Fourth Proportional to 255,934, 353,172.90 and 141,214

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Solution

The fourth proportional to 255,934, 353,172.90 and 141,214 is: 194,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,934 : 353,172.90 = 141,214 : x
  2. Step 2: Convert to fraction form
    255,934/353,172.90 = 141,214/x
  3. Step 3: Cross multiply
    255,934x = 353,172.90 × 141,214
  4. Step 4: Simplify right side
    255,934x = 49,872,957,900.60
  5. Step 5: Solve for x
    x = 49,872,957,900.60/255,934
  6. Step 6: Final answer
    x = 194,866.48

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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.