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Finding the Fourth Proportional to 64,738.50, 97,107.78 and 17,991.78

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Solution

The fourth proportional to 64,738.50, 97,107.78 and 17,991.78 is: 26,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,738.50 : 97,107.78 = 17,991.78 : x
  2. Step 2: Convert to fraction form
    64,738.50/97,107.78 = 17,991.78/x
  3. Step 3: Cross multiply
    64,738.50x = 97,107.78 × 17,991.78
  4. Step 4: Simplify right side
    64,738.50x = 1,747,141,814.05
  5. Step 5: Solve for x
    x = 1,747,141,814.05/64,738.50
  6. Step 6: Final answer
    x = 26,987.68

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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.