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Finding the Fourth Proportional to 103,981.94, 155,956.64 and 33,860.78

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Solution

The fourth proportional to 103,981.94, 155,956.64 and 33,860.78 is: 50,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,981.94 : 155,956.64 = 33,860.78 : x
  2. Step 2: Convert to fraction form
    103,981.94/155,956.64 = 33,860.78/x
  3. Step 3: Cross multiply
    103,981.94x = 155,956.64 × 33,860.78
  4. Step 4: Simplify right side
    103,981.94x = 5,280,812,527.49
  5. Step 5: Solve for x
    x = 5,280,812,527.49/103,981.94
  6. Step 6: Final answer
    x = 50,785.87

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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.