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Finding the Fourth Proportional to 76,400.81, 105,439.80 and 44,579.96

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Solution

The fourth proportional to 76,400.81, 105,439.80 and 44,579.96 is: 61,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,400.81 : 105,439.80 = 44,579.96 : x
  2. Step 2: Convert to fraction form
    76,400.81/105,439.80 = 44,579.96/x
  3. Step 3: Cross multiply
    76,400.81x = 105,439.80 × 44,579.96
  4. Step 4: Simplify right side
    76,400.81x = 4,700,501,539.21
  5. Step 5: Solve for x
    x = 4,700,501,539.21/76,400.81
  6. Step 6: Final answer
    x = 61,524.24

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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.