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Finding the Fourth Proportional to 147,832.56, 204,009.12 and 80,764.56

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Solution

The fourth proportional to 147,832.56, 204,009.12 and 80,764.56 is: 111,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,832.56 : 204,009.12 = 80,764.56 : x
  2. Step 2: Convert to fraction form
    147,832.56/204,009.12 = 80,764.56/x
  3. Step 3: Cross multiply
    147,832.56x = 204,009.12 × 80,764.56
  4. Step 4: Simplify right side
    147,832.56x = 16,476,706,812.79
  5. Step 5: Solve for x
    x = 16,476,706,812.79/147,832.56
  6. Step 6: Final answer
    x = 111,455.20

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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.