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Finding the Fourth Proportional to 201,665.76, 278,286.48 and 111,004.08

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Solution

The fourth proportional to 201,665.76, 278,286.48 and 111,004.08 is: 153,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,665.76 : 278,286.48 = 111,004.08 : x
  2. Step 2: Convert to fraction form
    201,665.76/278,286.48 = 111,004.08/x
  3. Step 3: Cross multiply
    201,665.76x = 278,286.48 × 111,004.08
  4. Step 4: Simplify right side
    201,665.76x = 30,890,934,688.84
  5. Step 5: Solve for x
    x = 30,890,934,688.84/201,665.76
  6. Step 6: Final answer
    x = 153,178.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.