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Finding the Fourth Proportional to 143,424.34, 197,930.34 and 78,896.26

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Solution

The fourth proportional to 143,424.34, 197,930.34 and 78,896.26 is: 108,879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,424.34 : 197,930.34 = 78,896.26 : x
  2. Step 2: Convert to fraction form
    143,424.34/197,930.34 = 78,896.26/x
  3. Step 3: Cross multiply
    143,424.34x = 197,930.34 × 78,896.26
  4. Step 4: Simplify right side
    143,424.34x = 15,615,963,566.53
  5. Step 5: Solve for x
    x = 15,615,963,566.53/143,424.34
  6. Step 6: Final answer
    x = 108,879.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.