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Finding the Fourth Proportional to 137,676.90, 189,640.11 and 97,321.29

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Solution

The fourth proportional to 137,676.90, 189,640.11 and 97,321.29 is: 134,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,676.90 : 189,640.11 = 97,321.29 : x
  2. Step 2: Convert to fraction form
    137,676.90/189,640.11 = 97,321.29/x
  3. Step 3: Cross multiply
    137,676.90x = 189,640.11 × 97,321.29
  4. Step 4: Simplify right side
    137,676.90x = 18,456,020,140.94
  5. Step 5: Solve for x
    x = 18,456,020,140.94/137,676.90
  6. Step 6: Final answer
    x = 134,053.14

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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.