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Finding the Fourth Proportional to 201,880.50, 302,820.78 and 54,136.50

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Solution

The fourth proportional to 201,880.50, 302,820.78 and 54,136.50 is: 81,204.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,880.50 : 302,820.78 = 54,136.50 : x
  2. Step 2: Convert to fraction form
    201,880.50/302,820.78 = 54,136.50/x
  3. Step 3: Cross multiply
    201,880.50x = 302,820.78 × 54,136.50
  4. Step 4: Simplify right side
    201,880.50x = 16,393,657,156.47
  5. Step 5: Solve for x
    x = 16,393,657,156.47/201,880.50
  6. Step 6: Final answer
    x = 81,204.76

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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.