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Finding the Fourth Proportional to 84,205.12, 116,199.12 and 48,369.92

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Solution

The fourth proportional to 84,205.12, 116,199.12 and 48,369.92 is: 66,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,205.12 : 116,199.12 = 48,369.92 : x
  2. Step 2: Convert to fraction form
    84,205.12/116,199.12 = 48,369.92/x
  3. Step 3: Cross multiply
    84,205.12x = 116,199.12 × 48,369.92
  4. Step 4: Simplify right side
    84,205.12x = 5,620,542,138.47
  5. Step 5: Solve for x
    x = 5,620,542,138.47/84,205.12
  6. Step 6: Final answer
    x = 66,748.22

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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.