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Finding the Fourth Proportional to 100,178.96, 150,342 and 80,692.79

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Solution

The fourth proportional to 100,178.96, 150,342 and 80,692.79 is: 121,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178.96 : 150,342 = 80,692.79 : x
  2. Step 2: Convert to fraction form
    100,178.96/150,342 = 80,692.79/x
  3. Step 3: Cross multiply
    100,178.96x = 150,342 × 80,692.79
  4. Step 4: Simplify right side
    100,178.96x = 12,131,514,682.47
  5. Step 5: Solve for x
    x = 12,131,514,682.47/100,178.96
  6. Step 6: Final answer
    x = 121,098.44

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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.