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Finding the Fourth Proportional to 76,676.89, 105,855.62 and 53,777.02

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Solution

The fourth proportional to 76,676.89, 105,855.62 and 53,777.02 is: 74,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,676.89 : 105,855.62 = 53,777.02 : x
  2. Step 2: Convert to fraction form
    76,676.89/105,855.62 = 53,777.02/x
  3. Step 3: Cross multiply
    76,676.89x = 105,855.62 × 53,777.02
  4. Step 4: Simplify right side
    76,676.89x = 5,692,599,793.85
  5. Step 5: Solve for x
    x = 5,692,599,793.85/76,676.89
  6. Step 6: Final answer
    x = 74,241.40

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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.