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Finding the Fourth Proportional to 40,898, 61,361.40 and 20,136.08

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Solution

The fourth proportional to 40,898, 61,361.40 and 20,136.08 is: 30,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,898 : 61,361.40 = 20,136.08 : x
  2. Step 2: Convert to fraction form
    40,898/61,361.40 = 20,136.08/x
  3. Step 3: Cross multiply
    40,898x = 61,361.40 × 20,136.08
  4. Step 4: Simplify right side
    40,898x = 1,235,578,059.31
  5. Step 5: Solve for x
    x = 1,235,578,059.31/40,898
  6. Step 6: Final answer
    x = 30,211.21

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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.