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Finding the Fourth Proportional to 201,854.56, 278,619.60 and 117,009.76

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Solution

The fourth proportional to 201,854.56, 278,619.60 and 117,009.76 is: 161,508.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,854.56 : 278,619.60 = 117,009.76 : x
  2. Step 2: Convert to fraction form
    201,854.56/278,619.60 = 117,009.76/x
  3. Step 3: Cross multiply
    201,854.56x = 278,619.60 × 117,009.76
  4. Step 4: Simplify right side
    201,854.56x = 32,601,212,527.30
  5. Step 5: Solve for x
    x = 32,601,212,527.30/201,854.56
  6. Step 6: Final answer
    x = 161,508.43

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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.