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Finding the Fourth Proportional to 146,495.35, 219,749.42 and 71,678.49

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Solution

The fourth proportional to 146,495.35, 219,749.42 and 71,678.49 is: 107,520.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,495.35 : 219,749.42 = 71,678.49 : x
  2. Step 2: Convert to fraction form
    146,495.35/219,749.42 = 71,678.49/x
  3. Step 3: Cross multiply
    146,495.35x = 219,749.42 × 71,678.49
  4. Step 4: Simplify right side
    146,495.35x = 15,751,305,959.11
  5. Step 5: Solve for x
    x = 15,751,305,959.11/146,495.35
  6. Step 6: Final answer
    x = 107,520.86

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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.