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Finding the Fourth Proportional to 72,833.58, 109,230.93 and 20,245.95

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Solution

The fourth proportional to 72,833.58, 109,230.93 and 20,245.95 is: 30,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,833.58 : 109,230.93 = 20,245.95 : x
  2. Step 2: Convert to fraction form
    72,833.58/109,230.93 = 20,245.95/x
  3. Step 3: Cross multiply
    72,833.58x = 109,230.93 × 20,245.95
  4. Step 4: Simplify right side
    72,833.58x = 2,211,483,947.23
  5. Step 5: Solve for x
    x = 2,211,483,947.23/72,833.58
  6. Step 6: Final answer
    x = 30,363.52

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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.