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Finding the Fourth Proportional to 76,441.68, 105,539.47 and 49,660.51

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Solution

The fourth proportional to 76,441.68, 105,539.47 and 49,660.51 is: 68,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,441.68 : 105,539.47 = 49,660.51 : x
  2. Step 2: Convert to fraction form
    76,441.68/105,539.47 = 49,660.51/x
  3. Step 3: Cross multiply
    76,441.68x = 105,539.47 × 49,660.51
  4. Step 4: Simplify right side
    76,441.68x = 5,241,144,029.48
  5. Step 5: Solve for x
    x = 5,241,144,029.48/76,441.68
  6. Step 6: Final answer
    x = 68,563.96

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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.