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Finding the Fourth Proportional to 72,852.54, 109,285.00 and 20,262.02

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Solution

The fourth proportional to 72,852.54, 109,285.00 and 20,262.02 is: 30,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,852.54 : 109,285.00 = 20,262.02 : x
  2. Step 2: Convert to fraction form
    72,852.54/109,285.00 = 20,262.02/x
  3. Step 3: Cross multiply
    72,852.54x = 109,285.00 × 20,262.02
  4. Step 4: Simplify right side
    72,852.54x = 2,214,335,180.71
  5. Step 5: Solve for x
    x = 2,214,335,180.71/72,852.54
  6. Step 6: Final answer
    x = 30,394.76

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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.