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Finding the Fourth Proportional to 201,818.91, 278,495.72 and 120,142.83

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Solution

The fourth proportional to 201,818.91, 278,495.72 and 120,142.83 is: 165,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,818.91 : 278,495.72 = 120,142.83 : x
  2. Step 2: Convert to fraction form
    201,818.91/278,495.72 = 120,142.83/x
  3. Step 3: Cross multiply
    201,818.91x = 278,495.72 × 120,142.83
  4. Step 4: Simplify right side
    201,818.91x = 33,459,263,342.97
  5. Step 5: Solve for x
    x = 33,459,263,342.97/201,818.91
  6. Step 6: Final answer
    x = 165,788.54

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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.