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Finding the Fourth Proportional to 148,132, 204,422.16 and 81,064

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Solution

The fourth proportional to 148,132, 204,422.16 and 81,064 is: 111,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,132 : 204,422.16 = 81,064 : x
  2. Step 2: Convert to fraction form
    148,132/204,422.16 = 81,064/x
  3. Step 3: Cross multiply
    148,132x = 204,422.16 × 81,064
  4. Step 4: Simplify right side
    148,132x = 16,571,277,978.24
  5. Step 5: Solve for x
    x = 16,571,277,978.24/148,132
  6. Step 6: Final answer
    x = 111,868.32

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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.