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Finding the Fourth Proportional to 84,388.88, 126,551.64 and 31,769.84

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Solution

The fourth proportional to 84,388.88, 126,551.64 and 31,769.84 is: 47,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,388.88 : 126,551.64 = 31,769.84 : x
  2. Step 2: Convert to fraction form
    84,388.88/126,551.64 = 31,769.84/x
  3. Step 3: Cross multiply
    84,388.88x = 126,551.64 × 31,769.84
  4. Step 4: Simplify right side
    84,388.88x = 4,020,525,354.54
  5. Step 5: Solve for x
    x = 4,020,525,354.54/84,388.88
  6. Step 6: Final answer
    x = 47,642.83

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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.