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Finding the Fourth Proportional to 132,509.38, 182,910.42 and 78,794.22

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Solution

The fourth proportional to 132,509.38, 182,910.42 and 78,794.22 is: 108,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,509.38 : 182,910.42 = 78,794.22 : x
  2. Step 2: Convert to fraction form
    132,509.38/182,910.42 = 78,794.22/x
  3. Step 3: Cross multiply
    132,509.38x = 182,910.42 × 78,794.22
  4. Step 4: Simplify right side
    132,509.38x = 14,412,283,873.77
  5. Step 5: Solve for x
    x = 14,412,283,873.77/132,509.38
  6. Step 6: Final answer
    x = 108,764.25

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1.5x scale

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.