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Finding the Fourth Proportional to 149,719, 206,612.62 and 82,651

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Solution

The fourth proportional to 149,719, 206,612.62 and 82,651 is: 114,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,719 : 206,612.62 = 82,651 : x
  2. Step 2: Convert to fraction form
    149,719/206,612.62 = 82,651/x
  3. Step 3: Cross multiply
    149,719x = 206,612.62 × 82,651
  4. Step 4: Simplify right side
    149,719x = 17,076,739,655.62
  5. Step 5: Solve for x
    x = 17,076,739,655.62/149,719
  6. Step 6: Final answer
    x = 114,058.60

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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.