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Finding the Fourth Proportional to 72,997.50, 100,736.64 and 39,463.50

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Solution

The fourth proportional to 72,997.50, 100,736.64 and 39,463.50 is: 54,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,997.50 : 100,736.64 = 39,463.50 : x
  2. Step 2: Convert to fraction form
    72,997.50/100,736.64 = 39,463.50/x
  3. Step 3: Cross multiply
    72,997.50x = 100,736.64 × 39,463.50
  4. Step 4: Simplify right side
    72,997.50x = 3,975,420,392.64
  5. Step 5: Solve for x
    x = 3,975,420,392.64/72,997.50
  6. Step 6: Final answer
    x = 54,459.68

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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.