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Finding the Fourth Proportional to 238,993.12, 329,814.30 and 137,027.56

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Solution

The fourth proportional to 238,993.12, 329,814.30 and 137,027.56 is: 189,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,993.12 : 329,814.30 = 137,027.56 : x
  2. Step 2: Convert to fraction form
    238,993.12/329,814.30 = 137,027.56/x
  3. Step 3: Cross multiply
    238,993.12x = 329,814.30 × 137,027.56
  4. Step 4: Simplify right side
    238,993.12x = 45,193,648,782.11
  5. Step 5: Solve for x
    x = 45,193,648,782.11/238,993.12
  6. Step 6: Final answer
    x = 189,100.21

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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.