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Finding the Fourth Proportional to 76,843.89, 115,063.84 and 61,771.01

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Solution

The fourth proportional to 76,843.89, 115,063.84 and 61,771.01 is: 92,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,843.89 : 115,063.84 = 61,771.01 : x
  2. Step 2: Convert to fraction form
    76,843.89/115,063.84 = 61,771.01/x
  3. Step 3: Cross multiply
    76,843.89x = 115,063.84 × 61,771.01
  4. Step 4: Simplify right side
    76,843.89x = 7,107,609,113.17
  5. Step 5: Solve for x
    x = 7,107,609,113.17/76,843.89
  6. Step 6: Final answer
    x = 92,494.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.