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Finding the Fourth Proportional to 198,002, 273,130.98 and 117,350.30

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Solution

The fourth proportional to 198,002, 273,130.98 and 117,350.30 is: 161,877.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,002 : 273,130.98 = 117,350.30 : x
  2. Step 2: Convert to fraction form
    198,002/273,130.98 = 117,350.30/x
  3. Step 3: Cross multiply
    198,002x = 273,130.98 × 117,350.30
  4. Step 4: Simplify right side
    198,002x = 32,052,002,442.29
  5. Step 5: Solve for x
    x = 32,052,002,442.29/198,002
  6. Step 6: Final answer
    x = 161,877.17

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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.