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Finding the Fourth Proportional to 101,991.03, 152,765.01 and 49,290

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Solution

The fourth proportional to 101,991.03, 152,765.01 and 49,290 is: 73,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,991.03 : 152,765.01 = 49,290 : x
  2. Step 2: Convert to fraction form
    101,991.03/152,765.01 = 49,290/x
  3. Step 3: Cross multiply
    101,991.03x = 152,765.01 × 49,290
  4. Step 4: Simplify right side
    101,991.03x = 7,529,787,342.90
  5. Step 5: Solve for x
    x = 7,529,787,342.90/101,991.03
  6. Step 6: Final answer
    x = 73,827.94

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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.