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Finding the Fourth Proportional to 68,706.33, 102,829.85 and 39,116.22

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Solution

The fourth proportional to 68,706.33, 102,829.85 and 39,116.22 is: 58,543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,706.33 : 102,829.85 = 39,116.22 : x
  2. Step 2: Convert to fraction form
    68,706.33/102,829.85 = 39,116.22/x
  3. Step 3: Cross multiply
    68,706.33x = 102,829.85 × 39,116.22
  4. Step 4: Simplify right side
    68,706.33x = 4,022,314,521.02
  5. Step 5: Solve for x
    x = 4,022,314,521.02/68,706.33
  6. Step 6: Final answer
    x = 58,543.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.