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Finding the Fourth Proportional to 72,582.20, 108,886.04 and 33,143.30

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Solution

The fourth proportional to 72,582.20, 108,886.04 and 33,143.30 is: 49,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,582.20 : 108,886.04 = 33,143.30 : x
  2. Step 2: Convert to fraction form
    72,582.20/108,886.04 = 33,143.30/x
  3. Step 3: Cross multiply
    72,582.20x = 108,886.04 × 33,143.30
  4. Step 4: Simplify right side
    72,582.20x = 3,608,842,689.53
  5. Step 5: Solve for x
    x = 3,608,842,689.53/72,582.20
  6. Step 6: Final answer
    x = 49,720.77

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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.