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Finding the Fourth Proportional to 75,675, 104,381.46 and 47,331.48

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Solution

The fourth proportional to 75,675, 104,381.46 and 47,331.48 is: 65,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,675 : 104,381.46 = 47,331.48 : x
  2. Step 2: Convert to fraction form
    75,675/104,381.46 = 47,331.48/x
  3. Step 3: Cross multiply
    75,675x = 104,381.46 × 47,331.48
  4. Step 4: Simplify right side
    75,675x = 4,940,528,986.36
  5. Step 5: Solve for x
    x = 4,940,528,986.36/75,675
  6. Step 6: Final answer
    x = 65,286.14

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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.