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Finding the Fourth Proportional to 149,801.32, 206,704.74 and 86,115.88

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Solution

The fourth proportional to 149,801.32, 206,704.74 and 86,115.88 is: 118,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,801.32 : 206,704.74 = 86,115.88 : x
  2. Step 2: Convert to fraction form
    149,801.32/206,704.74 = 86,115.88/x
  3. Step 3: Cross multiply
    149,801.32x = 206,704.74 × 86,115.88
  4. Step 4: Simplify right side
    149,801.32x = 17,800,560,585.27
  5. Step 5: Solve for x
    x = 17,800,560,585.27/149,801.32
  6. Step 6: Final answer
    x = 118,827.80

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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.