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Finding the Fourth Proportional to 71,964.76, 99,311.46 and 39,698.64

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Solution

The fourth proportional to 71,964.76, 99,311.46 and 39,698.64 is: 54,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,964.76 : 99,311.46 = 39,698.64 : x
  2. Step 2: Convert to fraction form
    71,964.76/99,311.46 = 39,698.64/x
  3. Step 3: Cross multiply
    71,964.76x = 99,311.46 × 39,698.64
  4. Step 4: Simplify right side
    71,964.76x = 3,942,529,898.41
  5. Step 5: Solve for x
    x = 3,942,529,898.41/71,964.76
  6. Step 6: Final answer
    x = 54,784.17

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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.