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Finding the Fourth Proportional to 78,911.70, 108,784.86 and 48,676.64

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Solution

The fourth proportional to 78,911.70, 108,784.86 and 48,676.64 is: 67,103.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,911.70 : 108,784.86 = 48,676.64 : x
  2. Step 2: Convert to fraction form
    78,911.70/108,784.86 = 48,676.64/x
  3. Step 3: Cross multiply
    78,911.70x = 108,784.86 × 48,676.64
  4. Step 4: Simplify right side
    78,911.70x = 5,295,280,923.75
  5. Step 5: Solve for x
    x = 5,295,280,923.75/78,911.70
  6. Step 6: Final answer
    x = 67,103.88

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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.