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Finding the Fourth Proportional to 72,627.60, 108,947.68 and 20,037.09

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Solution

The fourth proportional to 72,627.60, 108,947.68 and 20,037.09 is: 30,057.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,627.60 : 108,947.68 = 20,037.09 : x
  2. Step 2: Convert to fraction form
    72,627.60/108,947.68 = 20,037.09/x
  3. Step 3: Cross multiply
    72,627.60x = 108,947.68 × 20,037.09
  4. Step 4: Simplify right side
    72,627.60x = 2,182,994,327.79
  5. Step 5: Solve for x
    x = 2,182,994,327.79/72,627.60
  6. Step 6: Final answer
    x = 30,057.36

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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.