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Finding the Fourth Proportional to 76,676.70, 115,064.22 and 37,212.30

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Solution

The fourth proportional to 76,676.70, 115,064.22 and 37,212.30 is: 55,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,676.70 : 115,064.22 = 37,212.30 : x
  2. Step 2: Convert to fraction form
    76,676.70/115,064.22 = 37,212.30/x
  3. Step 3: Cross multiply
    76,676.70x = 115,064.22 × 37,212.30
  4. Step 4: Simplify right side
    76,676.70x = 4,281,804,273.91
  5. Step 5: Solve for x
    x = 4,281,804,273.91/76,676.70
  6. Step 6: Final answer
    x = 55,842.31

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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.