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Finding the Fourth Proportional to 109,978.20, 164,967.30 and 100,136.70

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Solution

The fourth proportional to 109,978.20, 164,967.30 and 100,136.70 is: 150,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,978.20 : 164,967.30 = 100,136.70 : x
  2. Step 2: Convert to fraction form
    109,978.20/164,967.30 = 100,136.70/x
  3. Step 3: Cross multiply
    109,978.20x = 164,967.30 × 100,136.70
  4. Step 4: Simplify right side
    109,978.20x = 16,519,281,029.91
  5. Step 5: Solve for x
    x = 16,519,281,029.91/109,978.20
  6. Step 6: Final answer
    x = 150,205.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.