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Finding the Fourth Proportional to 101,675.72, 152,231.88 and 76,639.88

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Solution

The fourth proportional to 101,675.72, 152,231.88 and 76,639.88 is: 114,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,675.72 : 152,231.88 = 76,639.88 : x
  2. Step 2: Convert to fraction form
    101,675.72/152,231.88 = 76,639.88/x
  3. Step 3: Cross multiply
    101,675.72x = 152,231.88 × 76,639.88
  4. Step 4: Simplify right side
    101,675.72x = 11,667,033,015.37
  5. Step 5: Solve for x
    x = 11,667,033,015.37/101,675.72
  6. Step 6: Final answer
    x = 114,747.48

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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.