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Finding the Fourth Proportional to 257,148.49, 385,784.32 and 107,305.43

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Solution

The fourth proportional to 257,148.49, 385,784.32 and 107,305.43 is: 160,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,148.49 : 385,784.32 = 107,305.43 : x
  2. Step 2: Convert to fraction form
    257,148.49/385,784.32 = 107,305.43/x
  3. Step 3: Cross multiply
    257,148.49x = 385,784.32 × 107,305.43
  4. Step 4: Simplify right side
    257,148.49x = 41,396,750,147.67
  5. Step 5: Solve for x
    x = 41,396,750,147.67/257,148.49
  6. Step 6: Final answer
    x = 160,983.84

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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.