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Finding the Fourth Proportional to 76,722.92, 105,873.44 and 42,260.94

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Solution

The fourth proportional to 76,722.92, 105,873.44 and 42,260.94 is: 58,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,722.92 : 105,873.44 = 42,260.94 : x
  2. Step 2: Convert to fraction form
    76,722.92/105,873.44 = 42,260.94/x
  3. Step 3: Cross multiply
    76,722.92x = 105,873.44 × 42,260.94
  4. Step 4: Simplify right side
    76,722.92x = 4,474,311,201.09
  5. Step 5: Solve for x
    x = 4,474,311,201.09/76,722.92
  6. Step 6: Final answer
    x = 58,317.79

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1.5x scale

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.