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Finding the Fourth Proportional to 257,324.77, 385,855.53 and 107,524.18

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Solution

The fourth proportional to 257,324.77, 385,855.53 and 107,524.18 is: 161,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,324.77 : 385,855.53 = 107,524.18 : x
  2. Step 2: Convert to fraction form
    257,324.77/385,855.53 = 107,524.18/x
  3. Step 3: Cross multiply
    257,324.77x = 385,855.53 × 107,524.18
  4. Step 4: Simplify right side
    257,324.77x = 41,488,799,461.72
  5. Step 5: Solve for x
    x = 41,488,799,461.72/257,324.77
  6. Step 6: Final answer
    x = 161,231.27

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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.