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Finding the Fourth Proportional to 223,740, 308,766.06 and 123,138

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Solution

The fourth proportional to 223,740, 308,766.06 and 123,138 is: 169,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,740 : 308,766.06 = 123,138 : x
  2. Step 2: Convert to fraction form
    223,740/308,766.06 = 123,138/x
  3. Step 3: Cross multiply
    223,740x = 308,766.06 × 123,138
  4. Step 4: Simplify right side
    223,740x = 38,020,835,096.28
  5. Step 5: Solve for x
    x = 38,020,835,096.28/223,740
  6. Step 6: Final answer
    x = 169,933.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.