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Finding the Fourth Proportional to 76,435.20, 105,486.24 and 46,221.68

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Solution

The fourth proportional to 76,435.20, 105,486.24 and 46,221.68 is: 63,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,435.20 : 105,486.24 = 46,221.68 : x
  2. Step 2: Convert to fraction form
    76,435.20/105,486.24 = 46,221.68/x
  3. Step 3: Cross multiply
    76,435.20x = 105,486.24 × 46,221.68
  4. Step 4: Simplify right side
    76,435.20x = 4,875,751,229.68
  5. Step 5: Solve for x
    x = 4,875,751,229.68/76,435.20
  6. Step 6: Final answer
    x = 63,789.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.