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Finding the Fourth Proportional to 150,253, 225,457.26 and 76,381

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Solution

The fourth proportional to 150,253, 225,457.26 and 76,381 is: 114,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,253 : 225,457.26 = 76,381 : x
  2. Step 2: Convert to fraction form
    150,253/225,457.26 = 76,381/x
  3. Step 3: Cross multiply
    150,253x = 225,457.26 × 76,381
  4. Step 4: Simplify right side
    150,253x = 17,220,650,976.06
  5. Step 5: Solve for x
    x = 17,220,650,976.06/150,253
  6. Step 6: Final answer
    x = 114,611.03

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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.