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Finding the Fourth Proportional to 100,784.80, 151,107.28 and 85,091.92

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Solution

The fourth proportional to 100,784.80, 151,107.28 and 85,091.92 is: 127,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,784.80 : 151,107.28 = 85,091.92 : x
  2. Step 2: Convert to fraction form
    100,784.80/151,107.28 = 85,091.92/x
  3. Step 3: Cross multiply
    100,784.80x = 151,107.28 × 85,091.92
  4. Step 4: Simplify right side
    100,784.80x = 12,858,008,581.18
  5. Step 5: Solve for x
    x = 12,858,008,581.18/100,784.80
  6. Step 6: Final answer
    x = 127,578.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.