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Finding the Fourth Proportional to 80,873.96, 121,324.14 and 25,457

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Solution

The fourth proportional to 80,873.96, 121,324.14 and 25,457 is: 38,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,873.96 : 121,324.14 = 25,457 : x
  2. Step 2: Convert to fraction form
    80,873.96/121,324.14 = 25,457/x
  3. Step 3: Cross multiply
    80,873.96x = 121,324.14 × 25,457
  4. Step 4: Simplify right side
    80,873.96x = 3,088,548,631.98
  5. Step 5: Solve for x
    x = 3,088,548,631.98/80,873.96
  6. Step 6: Final answer
    x = 38,189.66

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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.