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Finding the Fourth Proportional to 73,212, 101,032.58 and 39,678

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Solution

The fourth proportional to 73,212, 101,032.58 and 39,678 is: 54,755.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,212 : 101,032.58 = 39,678 : x
  2. Step 2: Convert to fraction form
    73,212/101,032.58 = 39,678/x
  3. Step 3: Cross multiply
    73,212x = 101,032.58 × 39,678
  4. Step 4: Simplify right side
    73,212x = 4,008,770,709.24
  5. Step 5: Solve for x
    x = 4,008,770,709.24/73,212
  6. Step 6: Final answer
    x = 54,755.65

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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.