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Finding the Fourth Proportional to 147,972, 204,201.36 and 80,904

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Solution

The fourth proportional to 147,972, 204,201.36 and 80,904 is: 111,647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,972 : 204,201.36 = 80,904 : x
  2. Step 2: Convert to fraction form
    147,972/204,201.36 = 80,904/x
  3. Step 3: Cross multiply
    147,972x = 204,201.36 × 80,904
  4. Step 4: Simplify right side
    147,972x = 16,520,706,829.44
  5. Step 5: Solve for x
    x = 16,520,706,829.44/147,972
  6. Step 6: Final answer
    x = 111,647.52

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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.