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Finding the Fourth Proportional to 149,726, 206,622.28 and 82,658

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Solution

The fourth proportional to 149,726, 206,622.28 and 82,658 is: 114,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,726 : 206,622.28 = 82,658 : x
  2. Step 2: Convert to fraction form
    149,726/206,622.28 = 82,658/x
  3. Step 3: Cross multiply
    149,726x = 206,622.28 × 82,658
  4. Step 4: Simplify right side
    149,726x = 17,078,984,420.24
  5. Step 5: Solve for x
    x = 17,078,984,420.24/149,726
  6. Step 6: Final answer
    x = 114,068.26

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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.