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Finding the Fourth Proportional to 253,450, 380,175 and 66,461.50

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Solution

The fourth proportional to 253,450, 380,175 and 66,461.50 is: 99,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,450 : 380,175 = 66,461.50 : x
  2. Step 2: Convert to fraction form
    253,450/380,175 = 66,461.50/x
  3. Step 3: Cross multiply
    253,450x = 380,175 × 66,461.50
  4. Step 4: Simplify right side
    253,450x = 25,267,000,762.50
  5. Step 5: Solve for x
    x = 25,267,000,762.50/253,450
  6. Step 6: Final answer
    x = 99,692.25

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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.