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Finding the Fourth Proportional to 84,932, 117,213.45 and 47,213.54

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Solution

The fourth proportional to 84,932, 117,213.45 and 47,213.54 is: 65,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,932 : 117,213.45 = 47,213.54 : x
  2. Step 2: Convert to fraction form
    84,932/117,213.45 = 47,213.54/x
  3. Step 3: Cross multiply
    84,932x = 117,213.45 × 47,213.54
  4. Step 4: Simplify right side
    84,932x = 5,534,061,910.11
  5. Step 5: Solve for x
    x = 5,534,061,910.11/84,932
  6. Step 6: Final answer
    x = 65,158.74

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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.