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Finding the Fourth Proportional to 103,855.35, 155,811.08 and 32,780.89

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Solution

The fourth proportional to 103,855.35, 155,811.08 and 32,780.89 is: 49,180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,855.35 : 155,811.08 = 32,780.89 : x
  2. Step 2: Convert to fraction form
    103,855.35/155,811.08 = 32,780.89/x
  3. Step 3: Cross multiply
    103,855.35x = 155,811.08 × 32,780.89
  4. Step 4: Simplify right side
    103,855.35x = 5,107,625,874.26
  5. Step 5: Solve for x
    x = 5,107,625,874.26/103,855.35
  6. Step 6: Final answer
    x = 49,180.19

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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.