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Finding the Fourth Proportional to 84,835.80, 117,077 and 47,110

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Solution

The fourth proportional to 84,835.80, 117,077 and 47,110 is: 65,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,835.80 : 117,077 = 47,110 : x
  2. Step 2: Convert to fraction form
    84,835.80/117,077 = 47,110/x
  3. Step 3: Cross multiply
    84,835.80x = 117,077 × 47,110
  4. Step 4: Simplify right side
    84,835.80x = 5,515,497,470
  5. Step 5: Solve for x
    x = 5,515,497,470/84,835.80
  6. Step 6: Final answer
    x = 65,013.80

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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.