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Finding the Fourth Proportional to 71,136.76, 106,513.94 and 54,189.05

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Solution

The fourth proportional to 71,136.76, 106,513.94 and 54,189.05 is: 81,137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,136.76 : 106,513.94 = 54,189.05 : x
  2. Step 2: Convert to fraction form
    71,136.76/106,513.94 = 54,189.05/x
  3. Step 3: Cross multiply
    71,136.76x = 106,513.94 × 54,189.05
  4. Step 4: Simplify right side
    71,136.76x = 5,771,888,747.06
  5. Step 5: Solve for x
    x = 5,771,888,747.06/71,136.76
  6. Step 6: Final answer
    x = 81,137.92

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1.5x scale

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.