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Finding the Fourth Proportional to 243,872.97, 365,926.08 and 86,175.69

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Solution

The fourth proportional to 243,872.97, 365,926.08 and 86,175.69 is: 129,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,872.97 : 365,926.08 = 86,175.69 : x
  2. Step 2: Convert to fraction form
    243,872.97/365,926.08 = 86,175.69/x
  3. Step 3: Cross multiply
    243,872.97x = 365,926.08 × 86,175.69
  4. Step 4: Simplify right side
    243,872.97x = 31,533,932,433.00
  5. Step 5: Solve for x
    x = 31,533,932,433.00/243,872.97
  6. Step 6: Final answer
    x = 129,304.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.