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Finding the Fourth Proportional to 147,856, 204,046.32 and 80,792.32

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Solution

The fourth proportional to 147,856, 204,046.32 and 80,792.32 is: 111,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,856 : 204,046.32 = 80,792.32 : x
  2. Step 2: Convert to fraction form
    147,856/204,046.32 = 80,792.32/x
  3. Step 3: Cross multiply
    147,856x = 204,046.32 × 80,792.32
  4. Step 4: Simplify right side
    147,856x = 16,485,375,580.26
  5. Step 5: Solve for x
    x = 16,485,375,580.26/147,856
  6. Step 6: Final answer
    x = 111,496.16

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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.