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Finding the Fourth Proportional to 84,206.54, 126,400.80 and 74,906.12

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Solution

The fourth proportional to 84,206.54, 126,400.80 and 74,906.12 is: 112,440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,206.54 : 126,400.80 = 74,906.12 : x
  2. Step 2: Convert to fraction form
    84,206.54/126,400.80 = 74,906.12/x
  3. Step 3: Cross multiply
    84,206.54x = 126,400.80 × 74,906.12
  4. Step 4: Simplify right side
    84,206.54x = 9,468,192,860.89
  5. Step 5: Solve for x
    x = 9,468,192,860.89/84,206.54
  6. Step 6: Final answer
    x = 112,440.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.