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Finding the Fourth Proportional to 76,205.76, 105,167.67 and 45,990.53

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Solution

The fourth proportional to 76,205.76, 105,167.67 and 45,990.53 is: 63,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,205.76 : 105,167.67 = 45,990.53 : x
  2. Step 2: Convert to fraction form
    76,205.76/105,167.67 = 45,990.53/x
  3. Step 3: Cross multiply
    76,205.76x = 105,167.67 × 45,990.53
  4. Step 4: Simplify right side
    76,205.76x = 4,836,717,169.81
  5. Step 5: Solve for x
    x = 4,836,717,169.81/76,205.76
  6. Step 6: Final answer
    x = 63,469.18

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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.