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Finding the Fourth Proportional to 76,146.32, 114,163.32 and 29,378

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Solution

The fourth proportional to 76,146.32, 114,163.32 and 29,378 is: 44,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,146.32 : 114,163.32 = 29,378 : x
  2. Step 2: Convert to fraction form
    76,146.32/114,163.32 = 29,378/x
  3. Step 3: Cross multiply
    76,146.32x = 114,163.32 × 29,378
  4. Step 4: Simplify right side
    76,146.32x = 3,353,890,014.96
  5. Step 5: Solve for x
    x = 3,353,890,014.96/76,146.32
  6. Step 6: Final answer
    x = 44,045.33

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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.