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Finding the Fourth Proportional to 149,956.46, 206,939.45 and 81,973.46

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Solution

The fourth proportional to 149,956.46, 206,939.45 and 81,973.46 is: 113,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,956.46 : 206,939.45 = 81,973.46 : x
  2. Step 2: Convert to fraction form
    149,956.46/206,939.45 = 81,973.46/x
  3. Step 3: Cross multiply
    149,956.46x = 206,939.45 × 81,973.46
  4. Step 4: Simplify right side
    149,956.46x = 16,963,542,727.00
  5. Step 5: Solve for x
    x = 16,963,542,727.00/149,956.46
  6. Step 6: Final answer
    x = 113,123.12

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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.