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Finding the Fourth Proportional to 86,544.49, 129,821.46 and 27,375.76

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Solution

The fourth proportional to 86,544.49, 129,821.46 and 27,375.76 is: 41,065.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,544.49 : 129,821.46 = 27,375.76 : x
  2. Step 2: Convert to fraction form
    86,544.49/129,821.46 = 27,375.76/x
  3. Step 3: Cross multiply
    86,544.49x = 129,821.46 × 27,375.76
  4. Step 4: Simplify right side
    86,544.49x = 3,553,961,131.81
  5. Step 5: Solve for x
    x = 3,553,961,131.81/86,544.49
  6. Step 6: Final answer
    x = 41,065.13

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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.