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Finding the Fourth Proportional to 76,189.74, 114,302.85 and 31,791.79

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Solution

The fourth proportional to 76,189.74, 114,302.85 and 31,791.79 is: 47,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,189.74 : 114,302.85 = 31,791.79 : x
  2. Step 2: Convert to fraction form
    76,189.74/114,302.85 = 31,791.79/x
  3. Step 3: Cross multiply
    76,189.74x = 114,302.85 × 31,791.79
  4. Step 4: Simplify right side
    76,189.74x = 3,633,892,203.60
  5. Step 5: Solve for x
    x = 3,633,892,203.60/76,189.74
  6. Step 6: Final answer
    x = 47,695.30

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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.