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Finding the Fourth Proportional to 86,286, 129,429 and 23,956.56

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Solution

The fourth proportional to 86,286, 129,429 and 23,956.56 is: 35,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,286 : 129,429 = 23,956.56 : x
  2. Step 2: Convert to fraction form
    86,286/129,429 = 23,956.56/x
  3. Step 3: Cross multiply
    86,286x = 129,429 × 23,956.56
  4. Step 4: Simplify right side
    86,286x = 3,100,673,604.24
  5. Step 5: Solve for x
    x = 3,100,673,604.24/86,286
  6. Step 6: Final answer
    x = 35,934.84

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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.