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Finding the Fourth Proportional to 105,215.26, 157,898.32 and 71,396.94

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Solution

The fourth proportional to 105,215.26, 157,898.32 and 71,396.94 is: 107,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,215.26 : 157,898.32 = 71,396.94 : x
  2. Step 2: Convert to fraction form
    105,215.26/157,898.32 = 71,396.94/x
  3. Step 3: Cross multiply
    105,215.26x = 157,898.32 × 71,396.94
  4. Step 4: Simplify right side
    105,215.26x = 11,273,456,879.14
  5. Step 5: Solve for x
    x = 11,273,456,879.14/105,215.26
  6. Step 6: Final answer
    x = 107,146.60

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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.