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Finding the Fourth Proportional to 84,871.52, 117,113.84 and 49,072.96

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Solution

The fourth proportional to 84,871.52, 117,113.84 and 49,072.96 is: 67,715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,871.52 : 117,113.84 = 49,072.96 : x
  2. Step 2: Convert to fraction form
    84,871.52/117,113.84 = 49,072.96/x
  3. Step 3: Cross multiply
    84,871.52x = 117,113.84 × 49,072.96
  4. Step 4: Simplify right side
    84,871.52x = 5,747,122,785.77
  5. Step 5: Solve for x
    x = 5,747,122,785.77/84,871.52
  6. Step 6: Final answer
    x = 67,715.56

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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.