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Finding the Fourth Proportional to 78,893.31, 108,876.85 and 48,256.80

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Solution

The fourth proportional to 78,893.31, 108,876.85 and 48,256.80 is: 66,596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,893.31 : 108,876.85 = 48,256.80 : x
  2. Step 2: Convert to fraction form
    78,893.31/108,876.85 = 48,256.80/x
  3. Step 3: Cross multiply
    78,893.31x = 108,876.85 × 48,256.80
  4. Step 4: Simplify right side
    78,893.31x = 5,254,048,254.44
  5. Step 5: Solve for x
    x = 5,254,048,254.44/78,893.31
  6. Step 6: Final answer
    x = 66,596.88

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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.