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Finding the Fourth Proportional to 253,893.12, 350,372.79 and 140,715.96

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Solution

The fourth proportional to 253,893.12, 350,372.79 and 140,715.96 is: 194,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,893.12 : 350,372.79 = 140,715.96 : x
  2. Step 2: Convert to fraction form
    253,893.12/350,372.79 = 140,715.96/x
  3. Step 3: Cross multiply
    253,893.12x = 350,372.79 × 140,715.96
  4. Step 4: Simplify right side
    253,893.12x = 49,303,043,502.73
  5. Step 5: Solve for x
    x = 49,303,043,502.73/253,893.12
  6. Step 6: Final answer
    x = 194,188.18

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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.