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Finding the Fourth Proportional to 71,636.96, 107,258.52 and 54,053.60

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Solution

The fourth proportional to 71,636.96, 107,258.52 and 54,053.60 is: 80,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,636.96 : 107,258.52 = 54,053.60 : x
  2. Step 2: Convert to fraction form
    71,636.96/107,258.52 = 54,053.60/x
  3. Step 3: Cross multiply
    71,636.96x = 107,258.52 × 54,053.60
  4. Step 4: Simplify right side
    71,636.96x = 5,797,709,136.67
  5. Step 5: Solve for x
    x = 5,797,709,136.67/71,636.96
  6. Step 6: Final answer
    x = 80,931.81

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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.