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Finding the Fourth Proportional to 149,654.34, 206,527.34 and 81,675.68

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Solution

The fourth proportional to 149,654.34, 206,527.34 and 81,675.68 is: 112,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,654.34 : 206,527.34 = 81,675.68 : x
  2. Step 2: Convert to fraction form
    149,654.34/206,527.34 = 81,675.68/x
  3. Step 3: Cross multiply
    149,654.34x = 206,527.34 × 81,675.68
  4. Step 4: Simplify right side
    149,654.34x = 16,868,260,933.09
  5. Step 5: Solve for x
    x = 16,868,260,933.09/149,654.34
  6. Step 6: Final answer
    x = 112,714.81

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1.5x scale

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.