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Finding the Fourth Proportional to 149,712, 206,602.92 and 82,644

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Solution

The fourth proportional to 149,712, 206,602.92 and 82,644 is: 114,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,712 : 206,602.92 = 82,644 : x
  2. Step 2: Convert to fraction form
    149,712/206,602.92 = 82,644/x
  3. Step 3: Cross multiply
    149,712x = 206,602.92 × 82,644
  4. Step 4: Simplify right side
    149,712x = 17,074,491,720.48
  5. Step 5: Solve for x
    x = 17,074,491,720.48/149,712
  6. Step 6: Final answer
    x = 114,048.92

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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.