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Finding the Fourth Proportional to 172,692.50, 259,026.87 and 106,142.90

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Solution

The fourth proportional to 172,692.50, 259,026.87 and 106,142.90 is: 159,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,692.50 : 259,026.87 = 106,142.90 : x
  2. Step 2: Convert to fraction form
    172,692.50/259,026.87 = 106,142.90/x
  3. Step 3: Cross multiply
    172,692.50x = 259,026.87 × 106,142.90
  4. Step 4: Simplify right side
    172,692.50x = 27,493,863,159.72
  5. Step 5: Solve for x
    x = 27,493,863,159.72/172,692.50
  6. Step 6: Final answer
    x = 159,207.05

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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.