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Finding the Fourth Proportional to 43,125, 64,687.50 and 11,960.25

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Solution

The fourth proportional to 43,125, 64,687.50 and 11,960.25 is: 17,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,125 : 64,687.50 = 11,960.25 : x
  2. Step 2: Convert to fraction form
    43,125/64,687.50 = 11,960.25/x
  3. Step 3: Cross multiply
    43,125x = 64,687.50 × 11,960.25
  4. Step 4: Simplify right side
    43,125x = 773,678,671.88
  5. Step 5: Solve for x
    x = 773,678,671.88/43,125
  6. Step 6: Final answer
    x = 17,940.38

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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.