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Finding the Fourth Proportional to 77,171.70, 115,749.72 and 52,371.12

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Solution

The fourth proportional to 77,171.70, 115,749.72 and 52,371.12 is: 78,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,171.70 : 115,749.72 = 52,371.12 : x
  2. Step 2: Convert to fraction form
    77,171.70/115,749.72 = 52,371.12/x
  3. Step 3: Cross multiply
    77,171.70x = 115,749.72 × 52,371.12
  4. Step 4: Simplify right side
    77,171.70x = 6,061,942,476.09
  5. Step 5: Solve for x
    x = 6,061,942,476.09/77,171.70
  6. Step 6: Final answer
    x = 78,551.37

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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.