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Finding the Fourth Proportional to 191,680.33, 264,563.92 and 119,138

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Solution

The fourth proportional to 191,680.33, 264,563.92 and 119,138 is: 164,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,680.33 : 264,563.92 = 119,138 : x
  2. Step 2: Convert to fraction form
    191,680.33/264,563.92 = 119,138/x
  3. Step 3: Cross multiply
    191,680.33x = 264,563.92 × 119,138
  4. Step 4: Simplify right side
    191,680.33x = 31,519,616,300.96
  5. Step 5: Solve for x
    x = 31,519,616,300.96/191,680.33
  6. Step 6: Final answer
    x = 164,438.45

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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.