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Finding the Fourth Proportional to 189,689.31, 261,893.29 and 121,735.58

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Solution

The fourth proportional to 189,689.31, 261,893.29 and 121,735.58 is: 168,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,689.31 : 261,893.29 = 121,735.58 : x
  2. Step 2: Convert to fraction form
    189,689.31/261,893.29 = 121,735.58/x
  3. Step 3: Cross multiply
    189,689.31x = 261,893.29 × 121,735.58
  4. Step 4: Simplify right side
    189,689.31x = 31,881,731,556.26
  5. Step 5: Solve for x
    x = 31,881,731,556.26/189,689.31
  6. Step 6: Final answer
    x = 168,073.42

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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.