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Finding the Fourth Proportional to 84,876, 117,128.96 and 47,153.76

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Solution

The fourth proportional to 84,876, 117,128.96 and 47,153.76 is: 65,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,876 : 117,128.96 = 47,153.76 : x
  2. Step 2: Convert to fraction form
    84,876/117,128.96 = 47,153.76/x
  3. Step 3: Cross multiply
    84,876x = 117,128.96 × 47,153.76
  4. Step 4: Simplify right side
    84,876x = 5,523,070,868.89
  5. Step 5: Solve for x
    x = 5,523,070,868.89/84,876
  6. Step 6: Final answer
    x = 65,072.23

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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.