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Finding the Fourth Proportional to 73,176, 100,983.96 and 39,642

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Solution

The fourth proportional to 73,176, 100,983.96 and 39,642 is: 54,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,176 : 100,983.96 = 39,642 : x
  2. Step 2: Convert to fraction form
    73,176/100,983.96 = 39,642/x
  3. Step 3: Cross multiply
    73,176x = 100,983.96 × 39,642
  4. Step 4: Simplify right side
    73,176x = 4,003,206,142.32
  5. Step 5: Solve for x
    x = 4,003,206,142.32/73,176
  6. Step 6: Final answer
    x = 54,706.55

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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.