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Finding the Fourth Proportional to 73,171.50, 100,976.70 and 39,637.50

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Solution

The fourth proportional to 73,171.50, 100,976.70 and 39,637.50 is: 54,699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,171.50 : 100,976.70 = 39,637.50 : x
  2. Step 2: Convert to fraction form
    73,171.50/100,976.70 = 39,637.50/x
  3. Step 3: Cross multiply
    73,171.50x = 100,976.70 × 39,637.50
  4. Step 4: Simplify right side
    73,171.50x = 4,002,463,946.25
  5. Step 5: Solve for x
    x = 4,002,463,946.25/73,171.50
  6. Step 6: Final answer
    x = 54,699.77

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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.