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Finding the Fourth Proportional to 103,855.16, 155,720.46 and 47,624.84

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Solution

The fourth proportional to 103,855.16, 155,720.46 and 47,624.84 is: 71,408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,855.16 : 155,720.46 = 47,624.84 : x
  2. Step 2: Convert to fraction form
    103,855.16/155,720.46 = 47,624.84/x
  3. Step 3: Cross multiply
    103,855.16x = 155,720.46 × 47,624.84
  4. Step 4: Simplify right side
    103,855.16x = 7,416,161,213.62
  5. Step 5: Solve for x
    x = 7,416,161,213.62/103,855.16
  6. Step 6: Final answer
    x = 71,408.69

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1.5x scale

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.