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Finding the Fourth Proportional to 76,682.30, 105,814.13 and 56,550.02

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Solution

The fourth proportional to 76,682.30, 105,814.13 and 56,550.02 is: 78,033.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,682.30 : 105,814.13 = 56,550.02 : x
  2. Step 2: Convert to fraction form
    76,682.30/105,814.13 = 56,550.02/x
  3. Step 3: Cross multiply
    76,682.30x = 105,814.13 × 56,550.02
  4. Step 4: Simplify right side
    76,682.30x = 5,983,790,355.96
  5. Step 5: Solve for x
    x = 5,983,790,355.96/76,682.30
  6. Step 6: Final answer
    x = 78,033.53

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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.