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Finding the Fourth Proportional to 149,796.63, 206,725.50 and 86,134.43

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Solution

The fourth proportional to 149,796.63, 206,725.50 and 86,134.43 is: 118,869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,796.63 : 206,725.50 = 86,134.43 : x
  2. Step 2: Convert to fraction form
    149,796.63/206,725.50 = 86,134.43/x
  3. Step 3: Cross multiply
    149,796.63x = 206,725.50 × 86,134.43
  4. Step 4: Simplify right side
    149,796.63x = 17,806,183,407.74
  5. Step 5: Solve for x
    x = 17,806,183,407.74/149,796.63
  6. Step 6: Final answer
    x = 118,869.05

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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.