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Finding the Fourth Proportional to 147,960, 204,189.84 and 80,896.32

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Solution

The fourth proportional to 147,960, 204,189.84 and 80,896.32 is: 111,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,960 : 204,189.84 = 80,896.32 : x
  2. Step 2: Convert to fraction form
    147,960/204,189.84 = 80,896.32/x
  3. Step 3: Cross multiply
    147,960x = 204,189.84 × 80,896.32
  4. Step 4: Simplify right side
    147,960x = 16,518,206,637.39
  5. Step 5: Solve for x
    x = 16,518,206,637.39/147,960
  6. Step 6: Final answer
    x = 111,639.68

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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.