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Finding the Fourth Proportional to 81,855.64, 112,896.72 and 53,184.50

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Solution

The fourth proportional to 81,855.64, 112,896.72 and 53,184.50 is: 73,352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,855.64 : 112,896.72 = 53,184.50 : x
  2. Step 2: Convert to fraction form
    81,855.64/112,896.72 = 53,184.50/x
  3. Step 3: Cross multiply
    81,855.64x = 112,896.72 × 53,184.50
  4. Step 4: Simplify right side
    81,855.64x = 6,004,355,604.84
  5. Step 5: Solve for x
    x = 6,004,355,604.84/81,855.64
  6. Step 6: Final answer
    x = 73,352.99

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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.