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Finding the Fourth Proportional to 72,181.76, 108,273.76 and 25,435.20

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Solution

The fourth proportional to 72,181.76, 108,273.76 and 25,435.20 is: 38,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,181.76 : 108,273.76 = 25,435.20 : x
  2. Step 2: Convert to fraction form
    72,181.76/108,273.76 = 25,435.20/x
  3. Step 3: Cross multiply
    72,181.76x = 108,273.76 × 25,435.20
  4. Step 4: Simplify right side
    72,181.76x = 2,753,964,740.35
  5. Step 5: Solve for x
    x = 2,753,964,740.35/72,181.76
  6. Step 6: Final answer
    x = 38,153.19

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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.