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Finding the Fourth Proportional to 257,238.52, 385,857.92 and 107,397.12

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Solution

The fourth proportional to 257,238.52, 385,857.92 and 107,397.12 is: 161,095.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,238.52 : 385,857.92 = 107,397.12 : x
  2. Step 2: Convert to fraction form
    257,238.52/385,857.92 = 107,397.12/x
  3. Step 3: Cross multiply
    257,238.52x = 385,857.92 × 107,397.12
  4. Step 4: Simplify right side
    257,238.52x = 41,440,029,605.68
  5. Step 5: Solve for x
    x = 41,440,029,605.68/257,238.52
  6. Step 6: Final answer
    x = 161,095.74

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1.5x scale

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.