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Finding the Fourth Proportional to 345,144, 517,716 and 95,826.24

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Solution

The fourth proportional to 345,144, 517,716 and 95,826.24 is: 143,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,144 : 517,716 = 95,826.24 : x
  2. Step 2: Convert to fraction form
    345,144/517,716 = 95,826.24/x
  3. Step 3: Cross multiply
    345,144x = 517,716 × 95,826.24
  4. Step 4: Simplify right side
    345,144x = 49,610,777,667.84
  5. Step 5: Solve for x
    x = 49,610,777,667.84/345,144
  6. Step 6: Final answer
    x = 143,739.36

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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.