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Finding the Fourth Proportional to 103,638.60, 155,454.12 and 33,516

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Solution

The fourth proportional to 103,638.60, 155,454.12 and 33,516 is: 50,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,638.60 : 155,454.12 = 33,516 : x
  2. Step 2: Convert to fraction form
    103,638.60/155,454.12 = 33,516/x
  3. Step 3: Cross multiply
    103,638.60x = 155,454.12 × 33,516
  4. Step 4: Simplify right side
    103,638.60x = 5,210,200,285.92
  5. Step 5: Solve for x
    x = 5,210,200,285.92/103,638.60
  6. Step 6: Final answer
    x = 50,272.78

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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.