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Finding the Fourth Proportional to 84,477.70, 126,675.55 and 31,891.33

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Solution

The fourth proportional to 84,477.70, 126,675.55 and 31,891.33 is: 47,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,477.70 : 126,675.55 = 31,891.33 : x
  2. Step 2: Convert to fraction form
    84,477.70/126,675.55 = 31,891.33/x
  3. Step 3: Cross multiply
    84,477.70x = 126,675.55 × 31,891.33
  4. Step 4: Simplify right side
    84,477.70x = 4,039,851,767.98
  5. Step 5: Solve for x
    x = 4,039,851,767.98/84,477.70
  6. Step 6: Final answer
    x = 47,821.52

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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.