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Finding the Fourth Proportional to 257,010.92, 385,364.88 and 120,082.56

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Solution

The fourth proportional to 257,010.92, 385,364.88 and 120,082.56 is: 180,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,010.92 : 385,364.88 = 120,082.56 : x
  2. Step 2: Convert to fraction form
    257,010.92/385,364.88 = 120,082.56/x
  3. Step 3: Cross multiply
    257,010.92x = 385,364.88 × 120,082.56
  4. Step 4: Simplify right side
    257,010.92x = 46,275,601,324.49
  5. Step 5: Solve for x
    x = 46,275,601,324.49/257,010.92
  6. Step 6: Final answer
    x = 180,053.06

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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.