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Finding the Fourth Proportional to 201,962.56, 278,709.44 and 117,129.92

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Solution

The fourth proportional to 201,962.56, 278,709.44 and 117,129.92 is: 161,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,962.56 : 278,709.44 = 117,129.92 : x
  2. Step 2: Convert to fraction form
    201,962.56/278,709.44 = 117,129.92/x
  3. Step 3: Cross multiply
    201,962.56x = 278,709.44 × 117,129.92
  4. Step 4: Simplify right side
    201,962.56x = 32,645,214,410.44
  5. Step 5: Solve for x
    x = 32,645,214,410.44/201,962.56
  6. Step 6: Final answer
    x = 161,639.93

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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.