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Finding the Fourth Proportional to 49,915.76, 74,829.90 and 18,772.88

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Solution

The fourth proportional to 49,915.76, 74,829.90 and 18,772.88 is: 28,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,915.76 : 74,829.90 = 18,772.88 : x
  2. Step 2: Convert to fraction form
    49,915.76/74,829.90 = 18,772.88/x
  3. Step 3: Cross multiply
    49,915.76x = 74,829.90 × 18,772.88
  4. Step 4: Simplify right side
    49,915.76x = 1,404,772,744.68
  5. Step 5: Solve for x
    x = 1,404,772,744.68/49,915.76
  6. Step 6: Final answer
    x = 28,142.87

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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.