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Finding the Fourth Proportional to 72,181.24, 108,243.18 and 27,783.40

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Solution

The fourth proportional to 72,181.24, 108,243.18 and 27,783.40 is: 41,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,181.24 : 108,243.18 = 27,783.40 : x
  2. Step 2: Convert to fraction form
    72,181.24/108,243.18 = 27,783.40/x
  3. Step 3: Cross multiply
    72,181.24x = 108,243.18 × 27,783.40
  4. Step 4: Simplify right side
    72,181.24x = 3,007,363,567.21
  5. Step 5: Solve for x
    x = 3,007,363,567.21/72,181.24
  6. Step 6: Final answer
    x = 41,664.06

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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.