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Finding the Fourth Proportional to 86,441.72, 129,676.41 and 36,522.29

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Solution

The fourth proportional to 86,441.72, 129,676.41 and 36,522.29 is: 54,789.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,441.72 : 129,676.41 = 36,522.29 : x
  2. Step 2: Convert to fraction form
    86,441.72/129,676.41 = 36,522.29/x
  3. Step 3: Cross multiply
    86,441.72x = 129,676.41 × 36,522.29
  4. Step 4: Simplify right side
    86,441.72x = 4,736,079,776.37
  5. Step 5: Solve for x
    x = 4,736,079,776.37/86,441.72
  6. Step 6: Final answer
    x = 54,789.29

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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.