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Finding the Fourth Proportional to 117,954, 176,931 and 30,402

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Solution

The fourth proportional to 117,954, 176,931 and 30,402 is: 45,603

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,954 : 176,931 = 30,402 : x
  2. Step 2: Convert to fraction form
    117,954/176,931 = 30,402/x
  3. Step 3: Cross multiply
    117,954x = 176,931 × 30,402
  4. Step 4: Simplify right side
    117,954x = 5,379,056,262
  5. Step 5: Solve for x
    x = 5,379,056,262/117,954
  6. Step 6: Final answer
    x = 45,603

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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.