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Finding the Fourth Proportional to 76,530.64, 105,620.36 and 44,709.84

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Solution

The fourth proportional to 76,530.64, 105,620.36 and 44,709.84 is: 61,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,530.64 : 105,620.36 = 44,709.84 : x
  2. Step 2: Convert to fraction form
    76,530.64/105,620.36 = 44,709.84/x
  3. Step 3: Cross multiply
    76,530.64x = 105,620.36 × 44,709.84
  4. Step 4: Simplify right side
    76,530.64x = 4,722,269,396.34
  5. Step 5: Solve for x
    x = 4,722,269,396.34/76,530.64
  6. Step 6: Final answer
    x = 61,704.30

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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.