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Finding the Fourth Proportional to 132,608.88, 182,984.04 and 78,896.16

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Solution

The fourth proportional to 132,608.88, 182,984.04 and 78,896.16 is: 108,867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,608.88 : 182,984.04 = 78,896.16 : x
  2. Step 2: Convert to fraction form
    132,608.88/182,984.04 = 78,896.16/x
  3. Step 3: Cross multiply
    132,608.88x = 182,984.04 × 78,896.16
  4. Step 4: Simplify right side
    132,608.88x = 14,436,738,097.29
  5. Step 5: Solve for x
    x = 14,436,738,097.29/132,608.88
  6. Step 6: Final answer
    x = 108,867.05

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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.