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Finding the Fourth Proportional to 149,672.29, 206,552.01 and 81,693.58

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Solution

The fourth proportional to 149,672.29, 206,552.01 and 81,693.58 is: 112,739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,672.29 : 206,552.01 = 81,693.58 : x
  2. Step 2: Convert to fraction form
    149,672.29/206,552.01 = 81,693.58/x
  3. Step 3: Cross multiply
    149,672.29x = 206,552.01 × 81,693.58
  4. Step 4: Simplify right side
    149,672.29x = 16,873,973,153.10
  5. Step 5: Solve for x
    x = 16,873,973,153.10/149,672.29
  6. Step 6: Final answer
    x = 112,739.46

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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.