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Finding the Fourth Proportional to 201,263.85, 301,941.14 and 68,136.57

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Solution

The fourth proportional to 201,263.85, 301,941.14 and 68,136.57 is: 102,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,263.85 : 301,941.14 = 68,136.57 : x
  2. Step 2: Convert to fraction form
    201,263.85/301,941.14 = 68,136.57/x
  3. Step 3: Cross multiply
    201,263.85x = 301,941.14 × 68,136.57
  4. Step 4: Simplify right side
    201,263.85x = 20,573,233,280.81
  5. Step 5: Solve for x
    x = 20,573,233,280.81/201,263.85
  6. Step 6: Final answer
    x = 102,220.21

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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.