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Finding the Fourth Proportional to 201,429.80, 277,951.32 and 116,531

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Solution

The fourth proportional to 201,429.80, 277,951.32 and 116,531 is: 160,800.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,429.80 : 277,951.32 = 116,531 : x
  2. Step 2: Convert to fraction form
    201,429.80/277,951.32 = 116,531/x
  3. Step 3: Cross multiply
    201,429.80x = 277,951.32 × 116,531
  4. Step 4: Simplify right side
    201,429.80x = 32,389,945,270.92
  5. Step 5: Solve for x
    x = 32,389,945,270.92/201,429.80
  6. Step 6: Final answer
    x = 160,800.17

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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.