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Finding the Fourth Proportional to 76,165.87, 114,186.84 and 51,129.58

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Solution

The fourth proportional to 76,165.87, 114,186.84 and 51,129.58 is: 76,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,165.87 : 114,186.84 = 51,129.58 : x
  2. Step 2: Convert to fraction form
    76,165.87/114,186.84 = 51,129.58/x
  3. Step 3: Cross multiply
    76,165.87x = 114,186.84 × 51,129.58
  4. Step 4: Simplify right side
    76,165.87x = 5,838,325,170.73
  5. Step 5: Solve for x
    x = 5,838,325,170.73/76,165.87
  6. Step 6: Final answer
    x = 76,652.77

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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.