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Finding the Fourth Proportional to 103,956.30, 155,704.05 and 80,506.70

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Solution

The fourth proportional to 103,956.30, 155,704.05 and 80,506.70 is: 120,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,956.30 : 155,704.05 = 80,506.70 : x
  2. Step 2: Convert to fraction form
    103,956.30/155,704.05 = 80,506.70/x
  3. Step 3: Cross multiply
    103,956.30x = 155,704.05 × 80,506.70
  4. Step 4: Simplify right side
    103,956.30x = 12,535,219,242.14
  5. Step 5: Solve for x
    x = 12,535,219,242.14/103,956.30
  6. Step 6: Final answer
    x = 120,581.62

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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.