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Finding the Fourth Proportional to 71,051.96, 106,575.50 and 18,461.90

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Solution

The fourth proportional to 71,051.96, 106,575.50 and 18,461.90 is: 27,692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,051.96 : 106,575.50 = 18,461.90 : x
  2. Step 2: Convert to fraction form
    71,051.96/106,575.50 = 18,461.90/x
  3. Step 3: Cross multiply
    71,051.96x = 106,575.50 × 18,461.90
  4. Step 4: Simplify right side
    71,051.96x = 1,967,586,223.45
  5. Step 5: Solve for x
    x = 1,967,586,223.45/71,051.96
  6. Step 6: Final answer
    x = 27,692.22

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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.