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Finding the Fourth Proportional to 252,100, 347,898 and 138,922.75

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Solution

The fourth proportional to 252,100, 347,898 and 138,922.75 is: 191,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,100 : 347,898 = 138,922.75 : x
  2. Step 2: Convert to fraction form
    252,100/347,898 = 138,922.75/x
  3. Step 3: Cross multiply
    252,100x = 347,898 × 138,922.75
  4. Step 4: Simplify right side
    252,100x = 48,330,946,879.50
  5. Step 5: Solve for x
    x = 48,330,946,879.50/252,100
  6. Step 6: Final answer
    x = 191,713.40

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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.