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Finding the Fourth Proportional to 117,538, 176,307 and 29,986

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Solution

The fourth proportional to 117,538, 176,307 and 29,986 is: 44,979

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,538 : 176,307 = 29,986 : x
  2. Step 2: Convert to fraction form
    117,538/176,307 = 29,986/x
  3. Step 3: Cross multiply
    117,538x = 176,307 × 29,986
  4. Step 4: Simplify right side
    117,538x = 5,286,741,702
  5. Step 5: Solve for x
    x = 5,286,741,702/117,538
  6. Step 6: Final answer
    x = 44,979

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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.