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Finding the Fourth Proportional to 198,703.92, 274,072.42 and 130,699.16

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Solution

The fourth proportional to 198,703.92, 274,072.42 and 130,699.16 is: 180,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,703.92 : 274,072.42 = 130,699.16 : x
  2. Step 2: Convert to fraction form
    198,703.92/274,072.42 = 130,699.16/x
  3. Step 3: Cross multiply
    198,703.92x = 274,072.42 × 130,699.16
  4. Step 4: Simplify right side
    198,703.92x = 35,821,035,073.17
  5. Step 5: Solve for x
    x = 35,821,035,073.17/198,703.92
  6. Step 6: Final answer
    x = 180,273.42

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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.