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Finding the Fourth Proportional to 83,977.10, 115,879.80 and 51,706.60

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Solution

The fourth proportional to 83,977.10, 115,879.80 and 51,706.60 is: 71,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,977.10 : 115,879.80 = 51,706.60 : x
  2. Step 2: Convert to fraction form
    83,977.10/115,879.80 = 51,706.60/x
  3. Step 3: Cross multiply
    83,977.10x = 115,879.80 × 51,706.60
  4. Step 4: Simplify right side
    83,977.10x = 5,991,750,466.68
  5. Step 5: Solve for x
    x = 5,991,750,466.68/83,977.10
  6. Step 6: Final answer
    x = 71,349.81

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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.