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Finding the Fourth Proportional to 84,751.58, 127,123.25 and 31,453.94

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Solution

The fourth proportional to 84,751.58, 127,123.25 and 31,453.94 is: 47,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,751.58 : 127,123.25 = 31,453.94 : x
  2. Step 2: Convert to fraction form
    84,751.58/127,123.25 = 31,453.94/x
  3. Step 3: Cross multiply
    84,751.58x = 127,123.25 × 31,453.94
  4. Step 4: Simplify right side
    84,751.58x = 3,998,527,078.11
  5. Step 5: Solve for x
    x = 3,998,527,078.11/84,751.58
  6. Step 6: Final answer
    x = 47,179.38

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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.