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Finding the Fourth Proportional to 180,039.12, 270,063.12 and 61,709.76

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Solution

The fourth proportional to 180,039.12, 270,063.12 and 61,709.76 is: 92,566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,039.12 : 270,063.12 = 61,709.76 : x
  2. Step 2: Convert to fraction form
    180,039.12/270,063.12 = 61,709.76/x
  3. Step 3: Cross multiply
    180,039.12x = 270,063.12 × 61,709.76
  4. Step 4: Simplify right side
    180,039.12x = 16,665,530,320.05
  5. Step 5: Solve for x
    x = 16,665,530,320.05/180,039.12
  6. Step 6: Final answer
    x = 92,566.16

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1.5x scale

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.