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Finding the Fourth Proportional to 253,720.72, 380,579.96 and 76,226.96

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Solution

The fourth proportional to 253,720.72, 380,579.96 and 76,226.96 is: 114,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,720.72 : 380,579.96 = 76,226.96 : x
  2. Step 2: Convert to fraction form
    253,720.72/380,579.96 = 76,226.96/x
  3. Step 3: Cross multiply
    253,720.72x = 380,579.96 × 76,226.96
  4. Step 4: Simplify right side
    253,720.72x = 29,010,453,387.72
  5. Step 5: Solve for x
    x = 29,010,453,387.72/253,720.72
  6. Step 6: Final answer
    x = 114,340.10

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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.