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Finding the Fourth Proportional to 257,674.92, 386,538.84 and 89,194.98

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Solution

The fourth proportional to 257,674.92, 386,538.84 and 89,194.98 is: 133,801.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,674.92 : 386,538.84 = 89,194.98 : x
  2. Step 2: Convert to fraction form
    257,674.92/386,538.84 = 89,194.98/x
  3. Step 3: Cross multiply
    257,674.92x = 386,538.84 × 89,194.98
  4. Step 4: Simplify right side
    257,674.92x = 34,477,324,103.02
  5. Step 5: Solve for x
    x = 34,477,324,103.02/257,674.92
  6. Step 6: Final answer
    x = 133,801.63

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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.