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Finding the Fourth Proportional to 84,468.49, 126,721.36 and 31,878.43

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Solution

The fourth proportional to 84,468.49, 126,721.36 and 31,878.43 is: 47,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,468.49 : 126,721.36 = 31,878.43 : x
  2. Step 2: Convert to fraction form
    84,468.49/126,721.36 = 31,878.43/x
  3. Step 3: Cross multiply
    84,468.49x = 126,721.36 × 31,878.43
  4. Step 4: Simplify right side
    84,468.49x = 4,039,677,727.31
  5. Step 5: Solve for x
    x = 4,039,677,727.31/84,468.49
  6. Step 6: Final answer
    x = 47,824.67

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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.