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Finding the Fourth Proportional to 201,281.76, 277,830.72 and 129,661.56

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Solution

The fourth proportional to 201,281.76, 277,830.72 and 129,661.56 is: 178,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,281.76 : 277,830.72 = 129,661.56 : x
  2. Step 2: Convert to fraction form
    201,281.76/277,830.72 = 129,661.56/x
  3. Step 3: Cross multiply
    201,281.76x = 277,830.72 × 129,661.56
  4. Step 4: Simplify right side
    201,281.76x = 36,023,964,571.12
  5. Step 5: Solve for x
    x = 36,023,964,571.12/201,281.76
  6. Step 6: Final answer
    x = 178,972.82

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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.