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Finding the Fourth Proportional to 147,726, 203,862.42 and 80,658

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Solution

The fourth proportional to 147,726, 203,862.42 and 80,658 is: 111,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,726 : 203,862.42 = 80,658 : x
  2. Step 2: Convert to fraction form
    147,726/203,862.42 = 80,658/x
  3. Step 3: Cross multiply
    147,726x = 203,862.42 × 80,658
  4. Step 4: Simplify right side
    147,726x = 16,443,135,072.36
  5. Step 5: Solve for x
    x = 16,443,135,072.36/147,726
  6. Step 6: Final answer
    x = 111,308.33

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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.