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Finding the Fourth Proportional to 243,910.72, 365,890.08 and 75,424.48

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Solution

The fourth proportional to 243,910.72, 365,890.08 and 75,424.48 is: 113,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,910.72 : 365,890.08 = 75,424.48 : x
  2. Step 2: Convert to fraction form
    243,910.72/365,890.08 = 75,424.48/x
  3. Step 3: Cross multiply
    243,910.72x = 365,890.08 × 75,424.48
  4. Step 4: Simplify right side
    243,910.72x = 27,597,069,021.16
  5. Step 5: Solve for x
    x = 27,597,069,021.16/243,910.72
  6. Step 6: Final answer
    x = 113,144.14

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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.