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Finding the Fourth Proportional to 81,751.38, 112,806.78 and 47,302.03

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Solution

The fourth proportional to 81,751.38, 112,806.78 and 47,302.03 is: 65,270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,751.38 : 112,806.78 = 47,302.03 : x
  2. Step 2: Convert to fraction form
    81,751.38/112,806.78 = 47,302.03/x
  3. Step 3: Cross multiply
    81,751.38x = 112,806.78 × 47,302.03
  4. Step 4: Simplify right side
    81,751.38x = 5,335,989,020.85
  5. Step 5: Solve for x
    x = 5,335,989,020.85/81,751.38
  6. Step 6: Final answer
    x = 65,270.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.