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Finding the Fourth Proportional to 50,981.84, 76,443.36 and 19,780.64

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Solution

The fourth proportional to 50,981.84, 76,443.36 and 19,780.64 is: 29,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,981.84 : 76,443.36 = 19,780.64 : x
  2. Step 2: Convert to fraction form
    50,981.84/76,443.36 = 19,780.64/x
  3. Step 3: Cross multiply
    50,981.84x = 76,443.36 × 19,780.64
  4. Step 4: Simplify right side
    50,981.84x = 1,512,098,584.55
  5. Step 5: Solve for x
    x = 1,512,098,584.55/50,981.84
  6. Step 6: Final answer
    x = 29,659.55

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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.