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Finding the Fourth Proportional to 117,530, 176,295 and 29,978

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Solution

The fourth proportional to 117,530, 176,295 and 29,978 is: 44,967

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,530 : 176,295 = 29,978 : x
  2. Step 2: Convert to fraction form
    117,530/176,295 = 29,978/x
  3. Step 3: Cross multiply
    117,530x = 176,295 × 29,978
  4. Step 4: Simplify right side
    117,530x = 5,284,971,510
  5. Step 5: Solve for x
    x = 5,284,971,510/117,530
  6. Step 6: Final answer
    x = 44,967

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.