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Finding the Fourth Proportional to 253,720.53, 380,624.57 and 85,257.03

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Solution

The fourth proportional to 253,720.53, 380,624.57 and 85,257.03 is: 127,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,720.53 : 380,624.57 = 85,257.03 : x
  2. Step 2: Convert to fraction form
    253,720.53/380,624.57 = 85,257.03/x
  3. Step 3: Cross multiply
    253,720.53x = 380,624.57 × 85,257.03
  4. Step 4: Simplify right side
    253,720.53x = 32,450,919,956.94
  5. Step 5: Solve for x
    x = 32,450,919,956.94/253,720.53
  6. Step 6: Final answer
    x = 127,900.25

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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.