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Finding the Fourth Proportional to 243,912.96, 365,912.96 and 86,232.96

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Solution

The fourth proportional to 243,912.96, 365,912.96 and 86,232.96 is: 129,364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,912.96 : 365,912.96 = 86,232.96 : x
  2. Step 2: Convert to fraction form
    243,912.96/365,912.96 = 86,232.96/x
  3. Step 3: Cross multiply
    243,912.96x = 365,912.96 × 86,232.96
  4. Step 4: Simplify right side
    243,912.96x = 31,553,757,643.16
  5. Step 5: Solve for x
    x = 31,553,757,643.16/243,912.96
  6. Step 6: Final answer
    x = 129,364.83

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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.