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Finding the Fourth Proportional to 137,085.92, 189,179.88 and 80,498.24

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Solution

The fourth proportional to 137,085.92, 189,179.88 and 80,498.24 is: 111,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,085.92 : 189,179.88 = 80,498.24 : x
  2. Step 2: Convert to fraction form
    137,085.92/189,179.88 = 80,498.24/x
  3. Step 3: Cross multiply
    137,085.92x = 189,179.88 × 80,498.24
  4. Step 4: Simplify right side
    137,085.92x = 15,228,647,383.41
  5. Step 5: Solve for x
    x = 15,228,647,383.41/137,085.92
  6. Step 6: Final answer
    x = 111,088.34

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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.