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Finding the Fourth Proportional to 68,091.18, 102,136.80 and 20,706.18

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Solution

The fourth proportional to 68,091.18, 102,136.80 and 20,706.18 is: 31,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,091.18 : 102,136.80 = 20,706.18 : x
  2. Step 2: Convert to fraction form
    68,091.18/102,136.80 = 20,706.18/x
  3. Step 3: Cross multiply
    68,091.18x = 102,136.80 × 20,706.18
  4. Step 4: Simplify right side
    68,091.18x = 2,114,862,965.42
  5. Step 5: Solve for x
    x = 2,114,862,965.42/68,091.18
  6. Step 6: Final answer
    x = 31,059.28

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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.