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Finding the Fourth Proportional to 86,464.40, 129,734.72 and 36,578.92

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Solution

The fourth proportional to 86,464.40, 129,734.72 and 36,578.92 is: 54,884.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,464.40 : 129,734.72 = 36,578.92 : x
  2. Step 2: Convert to fraction form
    86,464.40/129,734.72 = 36,578.92/x
  3. Step 3: Cross multiply
    86,464.40x = 129,734.72 × 36,578.92
  4. Step 4: Simplify right side
    86,464.40x = 4,745,555,944.10
  5. Step 5: Solve for x
    x = 4,745,555,944.10/86,464.40
  6. Step 6: Final answer
    x = 54,884.51

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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.