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Finding the Fourth Proportional to 253,415.80, 380,136.32 and 75,905.88

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Solution

The fourth proportional to 253,415.80, 380,136.32 and 75,905.88 is: 113,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,415.80 : 380,136.32 = 75,905.88 : x
  2. Step 2: Convert to fraction form
    253,415.80/380,136.32 = 75,905.88/x
  3. Step 3: Cross multiply
    253,415.80x = 380,136.32 × 75,905.88
  4. Step 4: Simplify right side
    253,415.80x = 28,854,581,889.56
  5. Step 5: Solve for x
    x = 28,854,581,889.56/253,415.80
  6. Step 6: Final answer
    x = 113,862.60

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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.