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Finding the Fourth Proportional to 147,724.32, 203,859.48 and 80,656.32

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Solution

The fourth proportional to 147,724.32, 203,859.48 and 80,656.32 is: 111,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,724.32 : 203,859.48 = 80,656.32 : x
  2. Step 2: Convert to fraction form
    147,724.32/203,859.48 = 80,656.32/x
  3. Step 3: Cross multiply
    147,724.32x = 203,859.48 × 80,656.32
  4. Step 4: Simplify right side
    147,724.32x = 16,442,555,453.91
  5. Step 5: Solve for x
    x = 16,442,555,453.91/147,724.32
  6. Step 6: Final answer
    x = 111,305.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.