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Finding the Fourth Proportional to 84,476.70, 126,674.06 and 31,890.33

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Solution

The fourth proportional to 84,476.70, 126,674.06 and 31,890.33 is: 47,820.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,476.70 : 126,674.06 = 31,890.33 : x
  2. Step 2: Convert to fraction form
    84,476.70/126,674.06 = 31,890.33/x
  3. Step 3: Cross multiply
    84,476.70x = 126,674.06 × 31,890.33
  4. Step 4: Simplify right side
    84,476.70x = 4,039,677,416.39
  5. Step 5: Solve for x
    x = 4,039,677,416.39/84,476.70
  6. Step 6: Final answer
    x = 47,820.02

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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.