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Finding the Fourth Proportional to 243,183.50, 364,776.87 and 76,971.50

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Solution

The fourth proportional to 243,183.50, 364,776.87 and 76,971.50 is: 115,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,183.50 : 364,776.87 = 76,971.50 : x
  2. Step 2: Convert to fraction form
    243,183.50/364,776.87 = 76,971.50/x
  3. Step 3: Cross multiply
    243,183.50x = 364,776.87 × 76,971.50
  4. Step 4: Simplify right side
    243,183.50x = 28,077,422,849.21
  5. Step 5: Solve for x
    x = 28,077,422,849.21/243,183.50
  6. Step 6: Final answer
    x = 115,457.76

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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.