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Finding the Fourth Proportional to 189,796.73, 261,389.48 and 157,672.73

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Solution

The fourth proportional to 189,796.73, 261,389.48 and 157,672.73 is: 217,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,796.73 : 261,389.48 = 157,672.73 : x
  2. Step 2: Convert to fraction form
    189,796.73/261,389.48 = 157,672.73/x
  3. Step 3: Cross multiply
    189,796.73x = 261,389.48 × 157,672.73
  4. Step 4: Simplify right side
    189,796.73x = 41,213,990,809.57
  5. Step 5: Solve for x
    x = 41,213,990,809.57/189,796.73
  6. Step 6: Final answer
    x = 217,148.06

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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.