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Finding the Fourth Proportional to 82,584.65, 113,915.40 and 68,751.68

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Solution

The fourth proportional to 82,584.65, 113,915.40 and 68,751.68 is: 94,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,584.65 : 113,915.40 = 68,751.68 : x
  2. Step 2: Convert to fraction form
    82,584.65/113,915.40 = 68,751.68/x
  3. Step 3: Cross multiply
    82,584.65x = 113,915.40 × 68,751.68
  4. Step 4: Simplify right side
    82,584.65x = 7,831,874,558.30
  5. Step 5: Solve for x
    x = 7,831,874,558.30/82,584.65
  6. Step 6: Final answer
    x = 94,834.51

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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.