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Finding the Fourth Proportional to 157,970, 236,993.88 and 47,162

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Solution

The fourth proportional to 157,970, 236,993.88 and 47,162 is: 70,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,970 : 236,993.88 = 47,162 : x
  2. Step 2: Convert to fraction form
    157,970/236,993.88 = 47,162/x
  3. Step 3: Cross multiply
    157,970x = 236,993.88 × 47,162
  4. Step 4: Simplify right side
    157,970x = 11,177,105,368.56
  5. Step 5: Solve for x
    x = 11,177,105,368.56/157,970
  6. Step 6: Final answer
    x = 70,754.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.