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Finding the Fourth Proportional to 76,494.89, 114,738.69 and 29,120.87

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Solution

The fourth proportional to 76,494.89, 114,738.69 and 29,120.87 is: 43,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,494.89 : 114,738.69 = 29,120.87 : x
  2. Step 2: Convert to fraction form
    76,494.89/114,738.69 = 29,120.87/x
  3. Step 3: Cross multiply
    76,494.89x = 114,738.69 × 29,120.87
  4. Step 4: Simplify right side
    76,494.89x = 3,341,290,475.46
  5. Step 5: Solve for x
    x = 3,341,290,475.46/76,494.89
  6. Step 6: Final answer
    x = 43,679.92

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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.