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Finding the Fourth Proportional to 223,808.31, 308,861.19 and 137,735.28

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Solution

The fourth proportional to 223,808.31, 308,861.19 and 137,735.28 is: 190,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,808.31 : 308,861.19 = 137,735.28 : x
  2. Step 2: Convert to fraction form
    223,808.31/308,861.19 = 137,735.28/x
  3. Step 3: Cross multiply
    223,808.31x = 308,861.19 × 137,735.28
  4. Step 4: Simplify right side
    223,808.31x = 42,541,082,485.78
  5. Step 5: Solve for x
    x = 42,541,082,485.78/223,808.31
  6. Step 6: Final answer
    x = 190,078.21

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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.