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Finding the Fourth Proportional to 84,477.64, 126,704.94 and 22,142.92

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Solution

The fourth proportional to 84,477.64, 126,704.94 and 22,142.92 is: 33,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,477.64 : 126,704.94 = 22,142.92 : x
  2. Step 2: Convert to fraction form
    84,477.64/126,704.94 = 22,142.92/x
  3. Step 3: Cross multiply
    84,477.64x = 126,704.94 × 22,142.92
  4. Step 4: Simplify right side
    84,477.64x = 2,805,617,350.02
  5. Step 5: Solve for x
    x = 2,805,617,350.02/84,477.64
  6. Step 6: Final answer
    x = 33,211.36

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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.