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Finding the Fourth Proportional to 86,441.64, 129,662.46 and 27,281.94

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Solution

The fourth proportional to 86,441.64, 129,662.46 and 27,281.94 is: 40,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,441.64 : 129,662.46 = 27,281.94 : x
  2. Step 2: Convert to fraction form
    86,441.64/129,662.46 = 27,281.94/x
  3. Step 3: Cross multiply
    86,441.64x = 129,662.46 × 27,281.94
  4. Step 4: Simplify right side
    86,441.64x = 3,537,443,453.97
  5. Step 5: Solve for x
    x = 3,537,443,453.97/86,441.64
  6. Step 6: Final answer
    x = 40,922.91

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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.