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Finding the Fourth Proportional to 103,978.60, 156,006.30 and 100,138.60

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Solution

The fourth proportional to 103,978.60, 156,006.30 and 100,138.60 is: 150,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,978.60 : 156,006.30 = 100,138.60 : x
  2. Step 2: Convert to fraction form
    103,978.60/156,006.30 = 100,138.60/x
  3. Step 3: Cross multiply
    103,978.60x = 156,006.30 × 100,138.60
  4. Step 4: Simplify right side
    103,978.60x = 15,622,252,473.18
  5. Step 5: Solve for x
    x = 15,622,252,473.18/103,978.60
  6. Step 6: Final answer
    x = 150,244.88

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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.