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Finding the Fourth Proportional to 76,961.70, 115,442.55 and 71,056.80

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Solution

The fourth proportional to 76,961.70, 115,442.55 and 71,056.80 is: 106,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,961.70 : 115,442.55 = 71,056.80 : x
  2. Step 2: Convert to fraction form
    76,961.70/115,442.55 = 71,056.80/x
  3. Step 3: Cross multiply
    76,961.70x = 115,442.55 × 71,056.80
  4. Step 4: Simplify right side
    76,961.70x = 8,202,978,186.84
  5. Step 5: Solve for x
    x = 8,202,978,186.84/76,961.70
  6. Step 6: Final answer
    x = 106,585.20

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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.