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Finding the Fourth Proportional to 252,100.96, 347,894.82 and 137,380.60

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Solution

The fourth proportional to 252,100.96, 347,894.82 and 137,380.60 is: 189,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,100.96 : 347,894.82 = 137,380.60 : x
  2. Step 2: Convert to fraction form
    252,100.96/347,894.82 = 137,380.60/x
  3. Step 3: Cross multiply
    252,100.96x = 347,894.82 × 137,380.60
  4. Step 4: Simplify right side
    252,100.96x = 47,793,999,108.49
  5. Step 5: Solve for x
    x = 47,793,999,108.49/252,100.96
  6. Step 6: Final answer
    x = 189,582.77

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1.5x scale

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.