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Finding the Fourth Proportional to 76,798, 106,016.76 and 54,155.44

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Solution

The fourth proportional to 76,798, 106,016.76 and 54,155.44 is: 74,759.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,798 : 106,016.76 = 54,155.44 : x
  2. Step 2: Convert to fraction form
    76,798/106,016.76 = 54,155.44/x
  3. Step 3: Cross multiply
    76,798x = 106,016.76 × 54,155.44
  4. Step 4: Simplify right side
    76,798x = 5,741,384,285.17
  5. Step 5: Solve for x
    x = 5,741,384,285.17/76,798
  6. Step 6: Final answer
    x = 74,759.55

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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.