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Finding the Fourth Proportional to 243,885.92, 365,945.60 and 86,188.64

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Solution

The fourth proportional to 243,885.92, 365,945.60 and 86,188.64 is: 129,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,885.92 : 365,945.60 = 86,188.64 : x
  2. Step 2: Convert to fraction form
    243,885.92/365,945.60 = 86,188.64/x
  3. Step 3: Cross multiply
    243,885.92x = 365,945.60 × 86,188.64
  4. Step 4: Simplify right side
    243,885.92x = 31,540,353,577.98
  5. Step 5: Solve for x
    x = 31,540,353,577.98/243,885.92
  6. Step 6: Final answer
    x = 129,324.21

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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.