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Finding the Fourth Proportional to 201,418.80, 277,936.16 and 116,520

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Solution

The fourth proportional to 201,418.80, 277,936.16 and 116,520 is: 160,785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,418.80 : 277,936.16 = 116,520 : x
  2. Step 2: Convert to fraction form
    201,418.80/277,936.16 = 116,520/x
  3. Step 3: Cross multiply
    201,418.80x = 277,936.16 × 116,520
  4. Step 4: Simplify right side
    201,418.80x = 32,385,120,780.60
  5. Step 5: Solve for x
    x = 32,385,120,780.60/201,418.80
  6. Step 6: Final answer
    x = 160,785.00

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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.