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Finding the Fourth Proportional to 201,419.30, 277,936.85 and 116,520.50

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Solution

The fourth proportional to 201,419.30, 277,936.85 and 116,520.50 is: 160,785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,419.30 : 277,936.85 = 116,520.50 : x
  2. Step 2: Convert to fraction form
    201,419.30/277,936.85 = 116,520.50/x
  3. Step 3: Cross multiply
    201,419.30x = 277,936.85 × 116,520.50
  4. Step 4: Simplify right side
    201,419.30x = 32,385,340,147.82
  5. Step 5: Solve for x
    x = 32,385,340,147.82/201,419.30
  6. Step 6: Final answer
    x = 160,785.69

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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.