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Finding the Fourth Proportional to 82,244.32, 122,645 and 81,496.32

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Solution

The fourth proportional to 82,244.32, 122,645 and 81,496.32 is: 121,529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,244.32 : 122,645 = 81,496.32 : x
  2. Step 2: Convert to fraction form
    82,244.32/122,645 = 81,496.32/x
  3. Step 3: Cross multiply
    82,244.32x = 122,645 × 81,496.32
  4. Step 4: Simplify right side
    82,244.32x = 9,995,116,166.40
  5. Step 5: Solve for x
    x = 9,995,116,166.40/82,244.32
  6. Step 6: Final answer
    x = 121,529.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.